The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces

In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces. The strong convergence theorem of such method is proved under some suitable assumption on the parameters. As applications, we apply our main re...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Optimization Ročník 70; číslo 12; s. 2607 - 2633
Hlavní autori: Cholamjiak, Prasit, Pholasa, Nattawut, Suantai, Suthep, Sunthrayuth, Pongsakorn
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Philadelphia Taylor & Francis 02.12.2021
Taylor & Francis LLC
Predmet:
Banach space
Banach spaces
forward-backward algorithm
m-accretive operator
strong convergence
Viscosity
ISSN:0233-1934, 1029-4945
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces. The strong convergence theorem of such method is proved under some suitable assumption on the parameters. As applications, we apply our main result to the variational inequality problem, the convex minimization problem and the split feasibility problem. The numerical experiments to illustrate the behaviour of the proposed method including compare it with other methods are also presented.
AbstractList In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces. The strong convergence theorem of such method is proved under some suitable assumption on the parameters. As applications, we apply our main result to the variational inequality problem, the convex minimization problem and the split feasibility problem. The numerical experiments to illustrate the behaviour of the proposed method including compare it with other methods are also presented.
Author Pholasa, Nattawut
Sunthrayuth, Pongsakorn
Cholamjiak, Prasit
Suantai, Suthep
Author_xml – sequence: 1
  givenname: Prasit
  surname: Cholamjiak
  fullname: Cholamjiak, Prasit
  organization: School of Science, University of Phayao
– sequence: 2
  givenname: Nattawut
  surname: Pholasa
  fullname: Pholasa, Nattawut
  organization: School of Science, University of Phayao
– sequence: 3
  givenname: Suthep
  surname: Suantai
  fullname: Suantai, Suthep
  organization: Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University
– sequence: 4
  givenname: Pongsakorn
  surname: Sunthrayuth
  fullname: Sunthrayuth, Pongsakorn
  email: pongsakorn_su@rmutt.ac.th
  organization: Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT)
BookMark eNqFkEtLAzEUhYMoWB8_QQi4Hk0mSTPBjQ98geBG1-FOJlMjaVKTabX-elNbNy50dS-Hcw6Hbw9thxgsQkeUnFDSkFNSM0YV4yc1qYskG0UZ3UIjSmpVccXFNhqtPNXKtIv2cn4lpKbjmo9Q9_Ri8cQGm8C7T9vhhcsmZjcssf2YeWfcgNPc24z7mHCOfuHCBC8gORhcDOCxC8bPc_nxLMXW22kuEr6EAOYF5xkYmw_QTg8-28PN3UfPN9dPV3fVw-Pt_dXFQ2UYa4YKWjUWvKUSOi5Ip3rBBCONtaDazirZS963jZBcAbGcqDFIKqQSRhFgtOdsHx2ve8uSt7nNg36N81RGZl2PCZW1klIUl1i7TIo5J9vrWXJTSEtNiV4B1T9A9Qqo3gAtubNfuQLnm8KQwPl_0-frtAuF5BTeY_KdHmDpY-oTBOOyZn9XfAF195Gl
CitedBy_id crossref_primary_10_1080_02331934_2023_2256356
crossref_primary_10_1007_s41478_022_00547_2
Cites_doi 10.1006/jath.2000.3493
10.1155/2013/942315
10.1088/0031-9155/51/10/001
10.1088/0266-5611/21/6/017
10.1016/0022-247X(80)90323-6
10.1090/S0002-9939-1953-0054846-3
10.1137/S0363012998338806
10.1007/s10898-012-9990-4
10.1007/BF03007664
10.1080/02331934.2018.1491973
10.1007/978-1-84882-190-3
10.1186/1687-1812-2014-96
10.1186/s13660-017-1426-8
10.2140/pjm.1970.33.209
10.1007/s11590-011-0415-y
10.1007/s10957-010-9713-2
10.1080/02331934.2017.1325888
10.1016/S1076-5670(08)70157-5
10.1080/02331934.2018.1470176
10.1186/s13663-015-0439-6
10.1006/jmaa.1999.6615
10.1090/stml/051
10.1007/s11075-015-0030-6
10.1137/050626090
10.1186/s13663-015-0282-9
10.1007/s11784-017-0458-5
10.1007/978-0-85729-148-6
10.1007/BF01418765
10.1002/9780470753767
10.1111/j.2517-6161.1996.tb02080.x
10.1016/0022-247X(79)90234-8
10.1088/0266-5611/20/1/006
10.1155/2012/109236
10.1016/0362-546X(91)90200-K
10.1007/s13398-016-0366-3
10.11650/twjm/1500406684
10.1016/j.jmaa.2006.05.010
10.1137/0716071
ContentType Journal Article
Copyright 2020 Informa UK Limited, trading as Taylor & Francis Group 2020
2020 Informa UK Limited, trading as Taylor & Francis Group
Copyright_xml – notice: 2020 Informa UK Limited, trading as Taylor & Francis Group 2020
– notice: 2020 Informa UK Limited, trading as Taylor & Francis Group
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
DOI 10.1080/02331934.2020.1789131
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Aerospace Database
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList Aerospace Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1029-4945
EndPage 2633
ExternalDocumentID 10_1080_02331934_2020_1789131
1789131
Genre Research Article
GroupedDBID .7F
.DC
.QJ
0BK
0R~
123
29N
30N
4.4
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACIWK
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMVHM
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DKSSO
DU5
EBS
E~A
E~B
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
NA5
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c338t-ab9654b17ad450d9f535308eea9bde97f74fb85749a0e4096a715795c90a31f43
IEDL.DBID TFW
ISICitedReferencesCount 6
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000547649800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0233-1934
IngestDate Mon Nov 10 03:03:24 EST 2025
Sat Nov 29 06:01:41 EST 2025
Tue Nov 18 21:51:36 EST 2025
Mon Oct 20 23:47:42 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 12
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c338t-ab9654b17ad450d9f535308eea9bde97f74fb85749a0e4096a715795c90a31f43
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2601729775
PQPubID 27961
PageCount 27
ParticipantIDs crossref_primary_10_1080_02331934_2020_1789131
crossref_citationtrail_10_1080_02331934_2020_1789131
proquest_journals_2601729775
informaworld_taylorfrancis_310_1080_02331934_2020_1789131
PublicationCentury 2000
PublicationDate 2021-12-02
PublicationDateYYYYMMDD 2021-12-02
PublicationDate_xml – month: 12
  year: 2021
  text: 2021-12-02
  day: 02
PublicationDecade 2020
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle Optimization
PublicationYear 2021
Publisher Taylor & Francis
Taylor & Francis LLC
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis LLC
References Takahashi W. (CIT0031) 2000
CIT0030
CIT0010
CIT0032
CIT0034
CIT0033
Tibshirani R. (CIT0016) 1996; 58
Sra S (CIT0015) 2012
Hairer E (CIT0003) 1993
CIT0014
CIT0036
Hoffman JD. (CIT0009) 2001
CIT0013
CIT0038
CIT0018
CIT0017
CIT0039
CIT0019
Marino G (CIT0012) 2017; 18
Luo P (CIT0035) 2017; 2017
CIT0041
CIT0040
Moaveni S. (CIT0011) 2008
CIT0021
CIT0043
CIT0020
CIT0042
CIT0001
CIT0023
CIT0022
CIT0044
Takahashi S (CIT0037) 2010; 147
CIT0025
CIT0002
CIT0024
CIT0005
CIT0027
CIT0004
CIT0026
CIT0007
CIT0029
CIT0006
CIT0028
CIT0008
References_xml – ident: CIT0022
  doi: 10.1006/jath.2000.3493
– volume-title: Finite element analysis theory and application with ANSYS
  year: 2008
  ident: CIT0011
– ident: CIT0033
  doi: 10.1155/2013/942315
– ident: CIT0041
  doi: 10.1088/0031-9155/51/10/001
– ident: CIT0042
  doi: 10.1088/0266-5611/21/6/017
– ident: CIT0028
  doi: 10.1016/0022-247X(80)90323-6
– ident: CIT0004
  doi: 10.1090/S0002-9939-1953-0054846-3
– ident: CIT0020
  doi: 10.1137/S0363012998338806
– ident: CIT0029
  doi: 10.1007/s10898-012-9990-4
– ident: CIT0040
  doi: 10.1007/BF03007664
– volume-title: Convex analysis and approximation of fixed points
  year: 2000
  ident: CIT0031
– ident: CIT0036
  doi: 10.1080/02331934.2018.1491973
– volume-title: Optimization for machine learning
  year: 2012
  ident: CIT0015
– ident: CIT0027
  doi: 10.1007/978-1-84882-190-3
– ident: CIT0005
  doi: 10.1186/1687-1812-2014-96
– volume: 2017
  start-page: 154
  year: 2017
  ident: CIT0035
  publication-title: J Inequal Appl
  doi: 10.1186/s13660-017-1426-8
– ident: CIT0039
  doi: 10.2140/pjm.1970.33.209
– volume-title: Numerical methods for engineers and scientists
  year: 2001
  ident: CIT0009
– ident: CIT0032
  doi: 10.1007/s11590-011-0415-y
– volume: 147
  start-page: 27
  issue: 1
  year: 2010
  ident: CIT0037
  publication-title: J Optim Theory Appl
  doi: 10.1007/s10957-010-9713-2
– ident: CIT0026
  doi: 10.1080/02331934.2017.1325888
– ident: CIT0014
  doi: 10.1016/S1076-5670(08)70157-5
– ident: CIT0044
  doi: 10.1080/02331934.2018.1470176
– ident: CIT0008
  doi: 10.1186/s13663-015-0439-6
– ident: CIT0007
  doi: 10.1006/jmaa.1999.6615
– volume: 18
  start-page: 137
  issue: 1
  year: 2017
  ident: CIT0012
  publication-title: J Nonlinear Convex Anal
– ident: CIT0010
  doi: 10.1090/stml/051
– ident: CIT0024
  doi: 10.1007/s11075-015-0030-6
– volume-title: Solving ordinary differential equations I: nonstiff problems
  year: 1993
  ident: CIT0003
– ident: CIT0017
  doi: 10.1137/050626090
– ident: CIT0006
  doi: 10.1186/s13663-015-0282-9
– ident: CIT0034
  doi: 10.1007/s11784-017-0458-5
– ident: CIT0002
  doi: 10.1007/978-0-85729-148-6
– ident: CIT0030
  doi: 10.1007/BF01418765
– ident: CIT0001
  doi: 10.1002/9780470753767
– volume: 58
  start-page: 267
  year: 1996
  ident: CIT0016
  publication-title: J R Stat Soc B
  doi: 10.1111/j.2517-6161.1996.tb02080.x
– ident: CIT0019
  doi: 10.1016/0022-247X(79)90234-8
– ident: CIT0013
  doi: 10.1088/0266-5611/20/1/006
– ident: CIT0023
  doi: 10.1155/2012/109236
– ident: CIT0038
  doi: 10.1016/0362-546X(91)90200-K
– ident: CIT0025
  doi: 10.1007/s13398-016-0366-3
– ident: CIT0021
  doi: 10.11650/twjm/1500406684
– ident: CIT0043
  doi: 10.1016/j.jmaa.2006.05.010
– ident: CIT0018
  doi: 10.1137/0716071
SSID ssj0021624
Score 2.2834923
Snippet In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces....
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 2607
SubjectTerms Banach space
Banach spaces
forward-backward algorithm
m-accretive operator
strong convergence
Viscosity
Title The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces
URI https://www.tandfonline.com/doi/abs/10.1080/02331934.2020.1789131
https://www.proquest.com/docview/2601729775
Volume 70
WOSCitedRecordID wos000547649800001&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: PRVAWR
  databaseName: Taylor & Francis Online Journals
  customDbUrl:
  eissn: 1029-4945
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0021624
  issn: 0233-1934
  databaseCode: TFW
  dateStart: 19850101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwELVQxQAD34hCQR5YA_mw63gERMVUMRTRLbIdByJVATVpBfx67hKnaoVQB1gtXWTZ5zu_8-U9Qi6ZhqQX-sILZSYBoKR9Tynje8JknMcGX2r8WmxCDIfxeCwfXTdh6doqEUNnDVFEHavxcCtdth1x15BmwHEirIiEMCTwpQ0BEKR-1DAYDZ4XkCvo17K2aOGhSfsPz29fWclOK9ylP2J1nYAGu_8w9T2y426f9KZxl32yYYsDsr3ESXhIUnAc-tKQUedfNqXzvDTY2fVJ7Qc-ducVnc4mtqQwawqeixUJOgfI7cqKNC_MZIZFOOrUakoYoreqUOaVQgCDyHREngb3o7sHz0kxeAYwbOUpLfuc6UColHE_lRmPeOTH1iqpUytFJlimYy6YVL4FyNhXIuBCciN9FQUZi45Jp3gr7AmhNejxjTYmsixWQgrLU82F0gIuC3HaJazdgsQ4nnKUy5gkQUtn6hYxwUVM3CJ2ydXC7L0h6lhnIJf3N6nqCknWyJkk0RrbXusMiTvzZYLkbABVhOCnf_j0GdkKsW0GO2bCHulU05k9J5tmXuXl9KL27m-F7_R7
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LSwMxEA5SBfXgW6xWzcHr6r7SbI4qloq1p4q9hWw2qwtlle62qL_emX2UFpEe9BqYECaTmXyTyTeEXPghBD3X5pYrYgEAJWpbSmnb4jpmLND4UmMXzSZ4vx8Mh2L-LwyWVSKGjkuiiMJX4-HGZHRdEncFcQYsx8OUiAtDHJ_aAAGtMoi1aOWDzvMMdDntorEtilgoU__i-W2ahfi0wF76w1sXIaiz_R-L3yFb1QWUXpcWs0tWTLpHNudoCfdJBLZDX0o-6uTLRHSaZBqLuz6p-cD37iSn48nIZBSWTcF4MSlBp4C6q8wiTVI9mmAejlYNazIYojcqVfqVgg8D53RAnjp3g9uuVXVjsDTA2NxSoWgzP3S4inxmRyJmHvPswBglwsgIHnM_DgPGfaFsA6ixrbjDuGBa2MpzYt87JI30LTVHhBa4x9ah1p7xA8UFNywKGVchh_tCEDWJX--B1BVVOXbMGEmnZjStlChRibJSYpNczsTeS66OZQJifoNlXiRJ4rKjifSWyLZqa5DVsc8k8rMBWuGcHf9h6nOy3h089mTvvv9wQjZcrKLBAhq3RRr5eGJOyZqe5kk2PitM_RsP2_im
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwELaqpUJwgFKoWFqKD70G8nIcH_sgatVqtYdW7c1y_KCRVulqk11Rfj0zibPqCqEe4GppLMsez8w3Hn9DyFFagtOLQx7EwgkAKCYLlNJhwLVjLNf4UhN2zSb4ZJLf3YmpryZsfFklYmjXE0V0thov99y4oSLuG7gZUJwEMyIxDHF8aQMA9AJC5wzx13Vxu8ZcUdb1tUWRAGWGTzx_m2bDPW2Ql_5hrDsPVLz9D2vfIW98-EmPe315R7ZsvUtePyElfE8MaA790bNRV7-soauq0Vja9UjtT3ztrlq6WM5sQ2HVFFQXUxJ0BZjb5xVpVevZErNw1LeraWCInqha6XsKFgxM0wdyU3y_Pj0PfC-GQAOIbQNVioylZcSVSVlohGMJS8LcWiVKYwV3PHVlzngqVGgBM2aKR4wLpkWoksilyR4Z1Q-1_Uhoh3pCXWqd2DRXXHDLTMm4KjlEC7kZk3Q4Aqk9UTn2y5jJaOAz9ZsocROl38Qx-boWm_dMHc8JiKfnK9suReL6fiYyeUb2YFAG6S99I5GdDbAK5-zTP0z9hbycnhXy6mJyuU9exVhCg9Uz8QEZtYul_Uy29aqtmsVhp-i_ARy291c
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=The+generalized+viscosity+explicit+rules+for+solving+variational+inclusion+problems+in+Banach+spaces&rft.jtitle=Optimization&rft.au=Cholamjiak%2C+Prasit&rft.au=Pholasa%2C+Nattawut&rft.au=Suantai%2C+Suthep&rft.au=Sunthrayuth%2C+Pongsakorn&rft.date=2021-12-02&rft.pub=Taylor+%26+Francis+LLC&rft.issn=0233-1934&rft.eissn=1029-4945&rft.volume=70&rft.issue=12&rft.spage=2607&rft.epage=2633&rft_id=info:doi/10.1080%2F02331934.2020.1789131&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0233-1934&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0233-1934&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0233-1934&client=summon