Approximating fixed points of enriched contractions in Banach spaces

We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixed point and that this fixed po...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Fixed point theory and algorithms for sciences and engineering Ročník 22; číslo 2; s. 38
Hlavní autoři:	Berinde, Vasile, Păcurar, Mădălina
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 01.06.2020 Springer Nature B.V
Témata:	Analysis Approximation Banach spaces Enrichment Fixed points (mathematics) Iterative methods Mathematical Methods in Physics Mathematics Mathematics and Statistics Krasnoselskij iteration Primary 47H05 fixed point enriched contraction Secondary 47H10 Banach space 54J25 strong convergence Maia-type enriched contraction local enriched contraction
ISSN:	1661-7738, 1661-7746, 2730-5422
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Abstract	We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixed point and that this fixed point can be approximated by means of an appropriate Krasnoselskij iterative scheme. Several important results in fixed point theory are shown to be corollaries or consequences of the main results of this paper. We also study the fixed points of local enriched contractions, asymptotic enriched contractions and Maia-type enriched contractions. Examples to illustrate the generality of our new concepts and the corresponding fixed point theorems are also given.
AbstractList	We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixed point and that this fixed point can be approximated by means of an appropriate Krasnoselskij iterative scheme. Several important results in fixed point theory are shown to be corollaries or consequences of the main results of this paper. We also study the fixed points of local enriched contractions, asymptotic enriched contractions and Maia-type enriched contractions. Examples to illustrate the generality of our new concepts and the corresponding fixed point theorems are also given.
ArticleNumber	38
Author	Păcurar, Mădălina Berinde, Vasile
Author_xml	– sequence: 1 givenname: Vasile orcidid: 0000-0002-3677-795X surname: Berinde fullname: Berinde, Vasile email: vberinde@cunbm.utcluj.ro organization: Department of Mathematics and Computer Science, North University Centre at Baia Mare Technical University of Cluj-Napoca – sequence: 2 givenname: Mădălina surname: Păcurar fullname: Păcurar, Mădălina organization: Department of Economics and Bussiness Administration in German Language Faculty of Economics and Bussiness Administration, Babeş-Bolyai University of Cluj-Napoca
BookMark	eNp9kMtKAzEUhoNUsK0-gLsB16Mnl-ayrPUKBTe6DmmatCk1MyZTqG9vyoiCYFc5hP87l2-EBrGJDqFLDNcYQNxkjIVkNRCoQXBVqxM0xJzjWgjGBz81lWdolPMGgAPBYojupm2bmn14N12Iq8qHvVtWbRNil6vGVy6mYNflyzaxS8Z2oYm5CrG6NdHYdZVbY10-R6febLO7-H7H6O3h_nX2VM9fHp9n03ltKWNd7RnnnjLqDZ1ISyQslks2wdJ7WOAFM5IpbJ0jxCnPsPfCgAC_VFZ4xYWRdIyu-r5l5Y-dy53eNLsUy0hNyzWgBMf8WIpQSYBTJaCkcJ-yqck5Oa_bVCykT41BH5TqXqkuSvVBqVaFEX8YGzpzcFLchO1RkvRkLlPiyqXfnf6HvgB_MIvr
CitedBy_id	crossref_primary_10_1002_mma_70055 crossref_primary_10_1007_s11075_025_02080_2 crossref_primary_10_3390_math13182948 crossref_primary_10_3390_fractalfract8100609 crossref_primary_10_1007_s40314_025_03350_4 crossref_primary_10_1007_s11785_025_01699_2 crossref_primary_10_1007_s41478_023_00626_y crossref_primary_10_3390_computation13040081 crossref_primary_10_1007_s41478_022_00418_w crossref_primary_10_1016_j_chaos_2021_111591 crossref_primary_10_1016_j_topol_2023_108708 crossref_primary_10_1186_s13663_023_00750_1 crossref_primary_10_1080_27684830_2025_2535083 crossref_primary_10_1016_j_cam_2024_116064 crossref_primary_10_4995_agt_2025_22151 crossref_primary_10_1002_mma_9828 crossref_primary_10_1007_s13226_024_00708_y crossref_primary_10_1155_jom_5347383 crossref_primary_10_1016_j_chaos_2024_114589 crossref_primary_10_3390_sym16050546 crossref_primary_10_1080_01630563_2025_2549286 crossref_primary_10_3390_sym16010069 crossref_primary_10_3390_fractalfract9050324 crossref_primary_10_1007_s41478_023_00558_7 crossref_primary_10_3390_fractalfract8120701 crossref_primary_10_1007_s11081_025_10008_x crossref_primary_10_3390_sym13050885 crossref_primary_10_1007_s12215_023_00993_2 crossref_primary_10_1007_s40065_022_00398_6 crossref_primary_10_3390_fractalfract9010037 crossref_primary_10_1186_s13660_024_03097_2 crossref_primary_10_1016_j_heliyon_2024_e27890 crossref_primary_10_3390_axioms11030108 crossref_primary_10_3390_math10020273 crossref_primary_10_1080_02331934_2025_2463944 crossref_primary_10_1007_s13226_024_00625_0 crossref_primary_10_1007_s41478_023_00680_6 crossref_primary_10_3390_math9212684 crossref_primary_10_1007_s40065_022_00402_z crossref_primary_10_3390_axioms12060549 crossref_primary_10_1007_s11784_021_00873_1 crossref_primary_10_1016_j_cam_2020_113217 crossref_primary_10_4274_jcrpe_galenos_2024_2024_8_14 crossref_primary_10_1007_s40863_022_00283_2 crossref_primary_10_1515_ijnsns_2021_0141 crossref_primary_10_1007_s11784_021_00911_y crossref_primary_10_3390_sym13030498 crossref_primary_10_3390_math10214138 crossref_primary_10_1007_s10474_021_01154_6 crossref_primary_10_3390_math8071060 crossref_primary_10_1007_s12190_024_02162_9 crossref_primary_10_1007_s11784_021_00884_y crossref_primary_10_1007_s11784_021_00904_x crossref_primary_10_1155_2022_5695286 crossref_primary_10_1007_s40314_024_02850_z crossref_primary_10_1007_s41478_023_00679_z crossref_primary_10_3390_sym13081350 crossref_primary_10_1007_s41478_024_00868_4 crossref_primary_10_3390_math9182292 crossref_primary_10_1007_s00010_024_01144_3 crossref_primary_10_3390_math12010157 crossref_primary_10_3390_axioms13080562 crossref_primary_10_3390_sym13040713 crossref_primary_10_1007_s11784_024_01119_6
Cites_doi	10.1155/2013/621614 10.1090/S0002-9939-98-04605-X 10.2478/awutm-2018-0013 10.1007/978-0-387-21593-8 10.37193/CJM.2019.03.04 10.4064/fm-3-1-133-181 10.4153/CMB-1992-003-0 10.1016/B978-0-12-804295-3.50002-4 10.1007/978-1-4612-4838-5 10.1090/S0002-9947-1977-0433430-4 10.37193/CJM.2015.03.04
ContentType	Journal Article
Copyright	Springer Nature Switzerland AG 2020 2020© Springer Nature Switzerland AG 2020 Copyright Springer Nature B.V. Jun 2020
Copyright_xml	– notice: Springer Nature Switzerland AG 2020 – notice: 2020© Springer Nature Switzerland AG 2020 – notice: Copyright Springer Nature B.V. Jun 2020
DBID	AAYXX CITATION JQ2 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ K7- KR7 L6V L7M L~C L~D M0N M7S P5Z P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U
DOI	10.1007/s11784-020-0769-9
DatabaseName	CrossRef ProQuest Computer Science Collection ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni Edition) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database ProQuest Central Student SciTech Premium Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Academic ProQuest One Academic (New) Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic
DatabaseTitle	CrossRef ProQuest Computer Science Collection Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni)
DatabaseTitleList	Publicly Available Content Database ProQuest Computer Science Collection
Database_xml	– sequence: 1 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Mathematics
EISSN	1661-7746 2730-5422
ExternalDocumentID	10_1007_s11784_020_0769_9
GroupedDBID	-5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 203 29K 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5VS 67Z 6NX 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBXA ABDZT ABECU ABFTV ABHQN ABJNI ABJOX ABKCH ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ AXYYD AYJHY B-. BA0 BAPOH BDATZ BGNMA CAG COF CS3 CSCUP D-I DDRTE DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS HF~ HG5 HG6 HLICF HMJXF HQYDN HRMNR HZ~ IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z J9A JBSCW JCJTX JZLTJ KDC KOV LLZTM M4Y MA- N9A NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P9R PF0 PT4 QOS R89 R9I ROL RPX RSV S16 S1Z S27 S3B SAP SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 YLTOR Z45 ZMTXR ~A9 AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC AEZWR AFDZB AFHIU AFOHR AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION JQ2 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK AAFWJ AAJSJ AAKKN ABEEZ ABJCF ABUWG ACACY ACULB AFGXO AFKRA AFPKN ARAPS AZQEC BENPR BGLVJ C24 C6C CCPQU DWQXO FR3 GNUQQ GROUPED_DOAJ HCIFZ K7- KR7 L6V L7M L~C L~D M0N M7S P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U TUS
ID	FETCH-LOGICAL-c344t-f466f343fa358c280bdd4518ff0b1b4a8491cee22e9f41ff7a070fd9c7f967a83
IEDL.DBID	RSV
ISICitedReferencesCount	117
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000521156200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	1661-7738
IngestDate	Sat Oct 18 23:17:21 EDT 2025 Wed Sep 17 23:58:34 EDT 2025 Sat Nov 29 01:47:56 EST 2025 Tue Nov 18 22:32:58 EST 2025 Fri Feb 21 02:34:52 EST 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	2
Keywords	Krasnoselskij iteration Primary 47H05 fixed point enriched contraction Secondary 47H10 Banach space 54J25 strong convergence Maia-type enriched contraction local enriched contraction
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c344t-f466f343fa358c280bdd4518ff0b1b4a8491cee22e9f41ff7a070fd9c7f967a83
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0002-3677-795X
OpenAccessLink	https://www.proquest.com/docview/3217097616?pq-origsite=%requestingapplication%
PQID	3217097616
PQPubID	2044005
ParticipantIDs	proquest_journals_3217097616 proquest_journals_2382063970 crossref_primary_10_1007_s11784_020_0769_9 crossref_citationtrail_10_1007_s11784_020_0769_9 springer_journals_10_1007_s11784_020_0769_9
PublicationCentury	2000
PublicationDate	20200600
PublicationDateYYYYMMDD	2020-06-01
PublicationDate_xml	– month: 6 year: 2020 text: 20200600
PublicationDecade	2020
PublicationPlace	Cham
PublicationPlace_xml	– name: Cham – name: Heidelberg – name: New York
PublicationTitle	Fixed point theory and algorithms for sciences and engineering
PublicationTitleAbbrev	J. Fixed Point Theory Appl
PublicationYear	2020
Publisher	Springer International Publishing Springer Nature B.V
Publisher_xml	– name: Springer International Publishing – name: Springer Nature B.V
References	ShiojiNSuzukiTTakahashiWContractive mappings, Kannan mappings and metric completenessProc. Am. Math. Soc.1998126103117312414694340955.54009 BorweinJReichSShafrirIKrasnoselski–Mann iterations in normed spacesCan. Math. Bull.1992351212811574590712.47050 GranasADugundjiJFixed Point Theory2003New YorkSpringer1025.47002 SuzukiTContractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some senseComment. Math. (Prace Mat.)2005451455821998931098.54024 BerindeVApproximating fixed points of implicit almost contractionsHacet. J. Math. Stat.20124119310229769151279.47084 RusIAWeakly Picard operators and applicationsSemin. Fixed Point Theory Cluj-Napoca20012415719215171035.47044 BerindeVPetricMFixed point theorems for cyclic non-self single-valued almost contractionsCarpathian J. Math.201531328929635266811389.47130 Berinde, V., Păcurar, M.: Fixed point theorems for Kannan type mappings with applications to split feasibility and variational inequality problems (submitted) RhoadesBEA comparison of various definitions of contractive mappingsTrans. Am. Math. Soc.19772262572904334300365.54023 SubrahmanyamPVRemarks on some fixed-point theorems related to Banach’s contraction principleJ. Math. Phys. Sci.197484454573587490294.54033errata, ibid. 9 (1975), 195 Berinde, V., Păcurar, M.: Fixed point theorems for Chatterjea type mappings in Banach spaces (submitted) CaccioppoliRUn teorema generale sull’esistenza di elementi uniti in una transformazione funzionaleRend. Accad. Lincei19301179479956.0359.01 Berinde, V., Păcurar, M.: Iterative approximation of fixed points of single-valued almost contractions. In: Fixed Point Theory and Graph Theory. Elsevier, Amsterdam, pp. 29–97 (2016) BerindeVIterative Approximation of Fixed Points. Lecture Notes in Mathematics20072BerlinSpringer1165.47047 Goebel, K., Reich, S.: Uniform convexity, hyperbolic geometry, and nonexpansive mappings. In: Monographs and Textbooks in Pure and Applied Mathematics, vol. 83. New York: Marcel Dekker, Inc. (1984) MaiaMUn’osservazione sulle contrazioni metricheRend. Semin. Mat. Univ. Padova1968401391432291030188.45603 Alghamdi, M., Berinde, V., Shahzad, N.: Fixed point of multivalued nonself almost contractions. J. Appl. Math. 2013, Art. ID 621614 (2013) BerindeVApproximating fixed points of weak contractions using the Picard iterationNonlinear Anal. Forum200491435321113661078.47042 RusIAGeneralized Contractions and Applications2001Cluj-NapocaCluj-University Press0968.54029 ZeidlerENonlinear Functional Analysis and its Applications. I. Fixed-Point Theorems1986New YorkSpringer0583.47050 ZeidlerENonlinear Functional Analysis and its Applications. III. Variational Methods and Optimization1985New YorkSpringer0583.47051 Berinde, V.: Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators. An. Univ. Vest Timiş. Ser. Mat.-Inform. 56(2), 13–27 (2018). https://doi.org/10.2478/awutm-2018-0013 BanachSSur les opérations dans les ensembles abstraits et leurs applications aux équations intégralesFund. Math.19223133181394989848.0201.01 RusIAPetruşelAPetruşelGFixed Point Theory2008Cluj-NapocaCluj University Press1171.54034 BaillonJBBruckREReichSOn the asymptotic behavior of nonexpansive mappings and semigroups in Banach spacesHoust. J. Math.197841194739320431.47034 PăcurarMIterative Methods for Fixed Point Approximation2009Cluj-NapocaEditura Risoprint1213.54002 BerindeVApproximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spacesCarpathian J. Math.20193532933044033269 A Granas (769_CR16) 2003 IA Rus (769_CR22) 2008 T Suzuki (769_CR25) 2005; 45 V Berinde (769_CR6) 2012; 41 V Berinde (769_CR9) 2015; 31 N Shioji (769_CR23) 1998; 126 769_CR8 IA Rus (769_CR20) 2001 M Maia (769_CR17) 1968; 40 V Berinde (769_CR4) 2004; 9 BE Rhoades (769_CR19) 1977; 226 PV Subrahmanyam (769_CR24) 1974; 8 E Zeidler (769_CR26) 1985 R Caccioppoli (769_CR14) 1930; 11 V Berinde (769_CR7) 2019; 35 IA Rus (769_CR21) 2001; 2 E Zeidler (769_CR27) 1986 S Banach (769_CR3) 1922; 3 V Berinde (769_CR5) 2007 769_CR1 J Borwein (769_CR13) 1992; 35 769_CR15 769_CR12 769_CR11 769_CR10 JB Baillon (769_CR2) 1978; 4 M Păcurar (769_CR18) 2009
References_xml	– reference: Berinde, V., Păcurar, M.: Fixed point theorems for Kannan type mappings with applications to split feasibility and variational inequality problems (submitted) – reference: ZeidlerENonlinear Functional Analysis and its Applications. I. Fixed-Point Theorems1986New YorkSpringer0583.47050 – reference: RhoadesBEA comparison of various definitions of contractive mappingsTrans. Am. Math. Soc.19772262572904334300365.54023 – reference: BanachSSur les opérations dans les ensembles abstraits et leurs applications aux équations intégralesFund. Math.19223133181394989848.0201.01 – reference: BerindeVPetricMFixed point theorems for cyclic non-self single-valued almost contractionsCarpathian J. Math.201531328929635266811389.47130 – reference: BaillonJBBruckREReichSOn the asymptotic behavior of nonexpansive mappings and semigroups in Banach spacesHoust. J. Math.197841194739320431.47034 – reference: BerindeVApproximating fixed points of implicit almost contractionsHacet. J. Math. Stat.20124119310229769151279.47084 – reference: Goebel, K., Reich, S.: Uniform convexity, hyperbolic geometry, and nonexpansive mappings. In: Monographs and Textbooks in Pure and Applied Mathematics, vol. 83. New York: Marcel Dekker, Inc. (1984) – reference: RusIAWeakly Picard operators and applicationsSemin. Fixed Point Theory Cluj-Napoca20012415719215171035.47044 – reference: BerindeVIterative Approximation of Fixed Points. Lecture Notes in Mathematics20072BerlinSpringer1165.47047 – reference: BerindeVApproximating fixed points of weak contractions using the Picard iterationNonlinear Anal. Forum200491435321113661078.47042 – reference: BorweinJReichSShafrirIKrasnoselski–Mann iterations in normed spacesCan. Math. Bull.1992351212811574590712.47050 – reference: SuzukiTContractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some senseComment. Math. (Prace Mat.)2005451455821998931098.54024 – reference: Berinde, V.: Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators. An. Univ. Vest Timiş. Ser. Mat.-Inform. 56(2), 13–27 (2018). https://doi.org/10.2478/awutm-2018-0013 – reference: BerindeVApproximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spacesCarpathian J. Math.20193532933044033269 – reference: MaiaMUn’osservazione sulle contrazioni metricheRend. Semin. Mat. Univ. Padova1968401391432291030188.45603 – reference: Berinde, V., Păcurar, M.: Iterative approximation of fixed points of single-valued almost contractions. In: Fixed Point Theory and Graph Theory. Elsevier, Amsterdam, pp. 29–97 (2016) – reference: ShiojiNSuzukiTTakahashiWContractive mappings, Kannan mappings and metric completenessProc. Am. Math. Soc.1998126103117312414694340955.54009 – reference: ZeidlerENonlinear Functional Analysis and its Applications. III. Variational Methods and Optimization1985New YorkSpringer0583.47051 – reference: PăcurarMIterative Methods for Fixed Point Approximation2009Cluj-NapocaEditura Risoprint1213.54002 – reference: Berinde, V., Păcurar, M.: Fixed point theorems for Chatterjea type mappings in Banach spaces (submitted) – reference: Alghamdi, M., Berinde, V., Shahzad, N.: Fixed point of multivalued nonself almost contractions. J. Appl. Math. 2013, Art. ID 621614 (2013) – reference: GranasADugundjiJFixed Point Theory2003New YorkSpringer1025.47002 – reference: RusIAGeneralized Contractions and Applications2001Cluj-NapocaCluj-University Press0968.54029 – reference: CaccioppoliRUn teorema generale sull’esistenza di elementi uniti in una transformazione funzionaleRend. Accad. Lincei19301179479956.0359.01 – reference: RusIAPetruşelAPetruşelGFixed Point Theory2008Cluj-NapocaCluj University Press1171.54034 – reference: SubrahmanyamPVRemarks on some fixed-point theorems related to Banach’s contraction principleJ. Math. Phys. Sci.197484454573587490294.54033errata, ibid. 9 (1975), 195 – volume: 9 start-page: 43 issue: 1 year: 2004 ident: 769_CR4 publication-title: Nonlinear Anal. Forum – ident: 769_CR15 – volume-title: Iterative Methods for Fixed Point Approximation year: 2009 ident: 769_CR18 – volume-title: Nonlinear Functional Analysis and its Applications. III. Variational Methods and Optimization year: 1985 ident: 769_CR26 – ident: 769_CR1 doi: 10.1155/2013/621614 – volume: 2 start-page: 41 year: 2001 ident: 769_CR21 publication-title: Semin. Fixed Point Theory Cluj-Napoca – volume-title: Iterative Approximation of Fixed Points. Lecture Notes in Mathematics year: 2007 ident: 769_CR5 – volume: 4 start-page: 1 issue: 1 year: 1978 ident: 769_CR2 publication-title: Houst. J. Math. – volume: 126 start-page: 3117 issue: 10 year: 1998 ident: 769_CR23 publication-title: Proc. Am. Math. Soc. doi: 10.1090/S0002-9939-98-04605-X – ident: 769_CR8 doi: 10.2478/awutm-2018-0013 – ident: 769_CR11 – volume: 41 start-page: 93 issue: 1 year: 2012 ident: 769_CR6 publication-title: Hacet. J. Math. Stat. – volume-title: Fixed Point Theory year: 2008 ident: 769_CR22 – volume-title: Fixed Point Theory year: 2003 ident: 769_CR16 doi: 10.1007/978-0-387-21593-8 – volume: 35 start-page: 293 issue: 3 year: 2019 ident: 769_CR7 publication-title: Carpathian J. Math. doi: 10.37193/CJM.2019.03.04 – volume: 3 start-page: 133 year: 1922 ident: 769_CR3 publication-title: Fund. Math. doi: 10.4064/fm-3-1-133-181 – volume: 35 start-page: 21 issue: 1 year: 1992 ident: 769_CR13 publication-title: Can. Math. Bull. doi: 10.4153/CMB-1992-003-0 – volume: 40 start-page: 139 year: 1968 ident: 769_CR17 publication-title: Rend. Semin. Mat. Univ. Padova – ident: 769_CR10 doi: 10.1016/B978-0-12-804295-3.50002-4 – volume: 11 start-page: 794 year: 1930 ident: 769_CR14 publication-title: Rend. Accad. Lincei – volume-title: Nonlinear Functional Analysis and its Applications. I. Fixed-Point Theorems year: 1986 ident: 769_CR27 doi: 10.1007/978-1-4612-4838-5 – volume: 226 start-page: 257 year: 1977 ident: 769_CR19 publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-1977-0433430-4 – volume-title: Generalized Contractions and Applications year: 2001 ident: 769_CR20 – volume: 45 start-page: 45 issue: 1 year: 2005 ident: 769_CR25 publication-title: Comment. Math. (Prace Mat.) – volume: 8 start-page: 445 year: 1974 ident: 769_CR24 publication-title: J. Math. Phys. Sci. – volume: 31 start-page: 289 issue: 3 year: 2015 ident: 769_CR9 publication-title: Carpathian J. Math. doi: 10.37193/CJM.2015.03.04 – ident: 769_CR12
SSID	ssj0060217 ssj0002513275
Score	2.528484
Snippet	We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	38
SubjectTerms	Analysis Approximation Banach spaces Enrichment Fixed points (mathematics) Iterative methods Mathematical Methods in Physics Mathematics Mathematics and Statistics
SummonAdditionalLinks	– databaseName: Computer Science Database dbid: K7- link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV05T8MwFLa4Bhi4EYWCPDCBLBLbje0JcQoJUTGA1C1ybD-IhNLSFMTPx06TViDowhg5l_K9fO_5nQgdeZzBhrC6VI6FkpyMSAqSOJFRKjveQFFZNWxCdLuy11MPtcOtrNMqG06siNr2TfCRnzJvO0ded8bJ2eCNhKlRIbpaj9CYR4sxpXGQ8ztBJj4Wr7sZFZ0mmFlVzMVCchL2TH4Dr4j6ro6mNuaPsGilbW7W_vue62i1tjPx-VgwNtCcKzbRyv2kSWu5ha7OQz_xzzwcF88Y8k9n8aCfF6MS9wF7wQppohZX2ezj-ocS5wW-0IU2L9hTkeeYbfR0c_14eUvqoQrEMM5HBHiSAOMMNOtIQ2WUWcs7sQSIsjjjWnIVe8VJqVPAYwChPSmAVUaASoSWbActFP3C7SJsGUQ8s05FTPNIM-15UzhqTOLACQ4tFDXfNjV1x_Ew-OI1nfZKDnCkHo40wJGqFjqeXDIYt9uYdXK7gSCt_7wy9SYIraKV0a_LU3ha6KTBeLr857P2Zt9sHy3TSqiCe6aNFkbDd3eAlszHKC-Hh5VUfgFrYuf0 priority: 102 providerName: ProQuest
Title	Approximating fixed points of enriched contractions in Banach spaces
URI	https://link.springer.com/article/10.1007/s11784-020-0769-9 https://www.proquest.com/docview/2382063970 https://www.proquest.com/docview/3217097616
Volume	22
WOSCitedRecordID	wos000521156200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1661-7746 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0060217 issn: 1661-7738 databaseCode: RSV dateStart: 20070201 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerOpen customDbUrl: eissn: 1661-7746 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002513275 issn: 1661-7738 databaseCode: C24 dateStart: 20041201 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9wwEB7B0gM9FCigbktXPnAqipTY3tg-sjzUCrGKoCDgEjmJByKhLCLbip_fcTZhRQVIcLEU2XloZjzzTeZhgG3iMxY-rK6NE74kJws0Rx04lXGuhwRQTNYcNqHGY31xYZK2jrvust27kGSjqefFbpHSMvDuDvneJjCLsETWTvvdeHJ63qnf2INs72WR4SHoKHQXynzuEU-N0Rxh_hcUbWzN4cq7vnIVPrXQku3OZGENFlz1GT4eP_Zlrddhf9e3EH8o_XV1zbB8cAW7m5TVtGYTZCRLPjO0YE0C-6zkoWZlxUa2svkNI-1DamUDzg4Pfu_9DNpzFIJcSDkNUMYxCinQiqHOuQ6zopDDSCOGWZRJq6WJyFZy7gzKCFFZ0gNYmFyhiZXVYhN61aRyX4AVAkOZFc6EwsrQCkuqUjme57FDpyT2IewImuZtk3F_1sVtOm-P7AmUEoFST6DU9OHH4y13sw4bry3e6riUtputTgl18CZAGT47LUggQkJdUdyHnY5p8-kX3_X1Tau_wTJvuO5_0GxBb3r_x32HD_nfaVnfD2BpdDBOTgawuMcljUcqGPg001Mak-EVzSe_jpPLQSPK_wABE-Xs
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3NTxQxFH9BNFEP4mdcBO1BL5rGTtudtgdCQCSQhY0HTLiNnbYPJjGzK7MK_FP8jbSzO7vRKDcOHied6WTm9776PgHeRpzRp7C6NkGkkpySao6aBlVyrvvRQDFlO2xCDYf6-Nh8WYKrrhYmpVV2MrEV1H7kko_8o4i2M4u6M8s3xz9omhqVoqvdCI0pWQzC5Xk8sjUb-zsR33ec734--rRHZ1MFqBNSTijKPEchBVrR145rVnov-5lGZGVWSqulyaLm4DwYlBmispEr0Bun0OTKahH3vQN3pdAq9eofKDr36URbQXDV74KnbYVeprSk6YzGVG6o-V39LWzaP8KwrXbbXfnf_stjeDSzo8nWlPCfwFKon8LDw3kT2uYZ7GylfukXVbquTwhWF8GT8aiqJw0ZIYmMk9JgPWmz9af1HQ2parJta-tOSRS1UYY-h6-38hkvYLke1eElEC-QydIHw4SVzAob9YIK3Lk8YFASe8A6LAs366ieBnt8Lxa9oBP8RYS_SPAXpgfv54-Mp-1Ebrp5rYO8mEmWpogmFm-jseyvywty6MGHjqYWy_981-rNm72B-3tHhwfFwf5w8Aoe8JagkytqDZYnZz_DOtxzvyZVc_a65QgC326b1K4BKJBGBg
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VglA58EYsFPABLiCrju3E9gGhwrKiWlj1AFJvwfEDIlXZpVmg_DV-HeNssisQ9NYDx8iJo2S-eXieAI-RztGnsLo2QaSSnIpqHjUNquJc52igmKobNqFmM310ZA634OdQC5PSKgeZ2AlqP3fJR74n0HZmqDuzYi_2aRGH48mLxReaJkilSOswTmMFkWn48R2Pb-3zgzHS-gnnk9fvX72h_YQB6oSUSxplUUQhRbQi145rVnkv80zHyKqsklZLk6EW4TyYKLMYlUUOid44FU2hrBa47wW4iFo4Tzw2VXTt30G7QXCVD4HUrlovU1rSdF5jqjDU_K4KN_btHyHZTtNNrv3P_-g6XO3ta7K_YogbsBWam3Dl3bo5bXsLxvupj_ppna6bTyTWp8GTxbxuli2ZR4IMldJjPemy-Fd1Hy2pG_LSNtZ9JiiCUbbehg_n8hl3YLuZN-EuEC8ik5UPhgkrmRUW9YUK3LkixKBkHAEb6Fq6vtN6GvhxXG56RCcolAiFMkGhNCN4un5ksWozctbNuwP5y17itCWaXryL0rK_Lm-gMYJnA742y_98172zN3sElxFh5duD2fQ-7PAO28lDtQvby5Ov4QFcct-WdXvysGMOAh_PG2m_AP4GTsA
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Approximating+fixed+points+of+enriched+contractions+in+Banach+spaces&rft.jtitle=Journal+of+fixed+point+theory+and+applications&rft.au=Berinde+Vasile&rft.au=M%C4%83d%C4%83lina%2C+P%C4%83curar&rft.date=2020-06-01&rft.pub=Springer+Nature+B.V&rft.issn=1661-7738&rft.eissn=1661-7746&rft.volume=22&rft.issue=2&rft_id=info:doi/10.1007%2Fs11784-020-0769-9&rft.externalDBID=NO_FULL_TEXT
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1661-7738&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1661-7738&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1661-7738&client=summon