Approximations to fixed points of contraction semigroups in hilbert spaces
Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The obtained results extend the previously known results from a single mapping to a family of mappings.
Uloženo v:
| Vydáno v: | Numerical functional analysis and optimization Ročník 19; číslo 1-2; s. 157 - 163 |
|---|---|
| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia, PA
Marcel Dekker, Inc
01.01.1998
Taylor & Francis |
| Témata: | |
| ISSN: | 0163-0563, 1532-2467 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The obtained results extend the previously known results from a single mapping to a family of mappings. |
|---|---|
| AbstractList | Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The obtained results extend the previously known results from a single mapping to a family of mappings. |
| Author | Xu, Hong-Kun |
| Author_xml | – sequence: 1 givenname: Hong-Kun surname: Xu fullname: Xu, Hong-Kun organization: Department of Mathematics , University of Durban |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2333121$$DView record in Pascal Francis |
| BookMark | eNp9kM1OwzAQhC1UJNrCA3DzgWvAG5PEkbhUFb-qxAXOkWOvwSi1I9uI9u1JKHAAwWmlmflWuzMjE-cdEnIM7BSYYGcMSs6KshZMCChFDntkCgXPs_y8rCZkOvrZEOAHZBbjC2OM57WYkrtF3we_sWuZrHeRJk-N3aCmvbcuReoNVd6lINXo04hr-xT8ax-pdfTZdi2GRGMvFcZDsm9kF_Hoc87J49Xlw_ImW91f3y4Xq0zxvEiZYroGU6FRdVsqoaBtWwmIuhW10lipAnGQhakGEQC4xlpggbqqDGrT8jk52e3tZVSyM0E6ZWPTh-GJsG1yzjnkMMRgF1PBxxjQfCeANWNnza_OBqb6wSibPpoZGrDdv-TFjrTO-LCWbz50ukly2_nwdSH_G38HHAyHmg |
| CODEN | NFAODL |
| CitedBy_id | crossref_primary_10_1017_S000497270003519X crossref_primary_10_1007_s11784_018_0483_z crossref_primary_10_1016_j_na_2009_04_033 crossref_primary_10_1016_j_jmaa_2007_05_021 crossref_primary_10_1155_2011_643740 crossref_primary_10_1016_j_mcm_2011_05_016 crossref_primary_10_5402_2011_484061 crossref_primary_10_1007_s10114_010_7446_7 crossref_primary_10_1007_s10898_011_9835_6 crossref_primary_10_1016_j_aml_2006_09_003 |
| ContentType | Journal Article |
| Copyright | Copyright Taylor & Francis Group, LLC 1998 1998 INIST-CNRS |
| Copyright_xml | – notice: Copyright Taylor & Francis Group, LLC 1998 – notice: 1998 INIST-CNRS |
| DBID | AAYXX CITATION IQODW |
| DOI | 10.1080/01630569808816821 |
| DatabaseName | CrossRef Pascal-Francis |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1532-2467 |
| EndPage | 163 |
| ExternalDocumentID | 2333121 10_1080_01630569808816821 8816821 |
| GroupedDBID | -~X .7F .QJ 0BK 0R~ 123 1TA 30N 4.4 5VS AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABEFU ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACAGQ ACGEJ ACGFS ACIWK ACTIO ADCVX ADGTB ADXPE AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AGROQ AHDZW AHMOU AIJEM AIYEW AJWEG AKBVH AKOOK ALCKM ALMA_UNASSIGNED_HOLDINGS ALQZU AMEWO AMVHM AQRUH AQTUD AVBZW AWYRJ BLEHA CAG CCCUG CE4 COF CRFIH CS3 DGEBU DKSSO DMQIW DU5 EBS EJD ESX E~A E~B GTTXZ H13 HZ~ H~P IPNFZ J.P KYCEM M4Z NA5 NHB NUSFT NY~ O9- P2P PQQKQ QCRFL RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEJ TFL TFT TFW TN5 TOXWX TTHFI TUROJ TWF UT5 UU3 YNT YQT ZGOLN ~S~ .4S .DC 07G 29N AAIKQ AAKBW AAYXX ABDBF ACGEE ACTCW ACUHS AEUMN AGCQS AGLEN AMXXU ARCSS BCCOT BPLKW C06 CITATION DWIFK EAP EDO EMK EPL EST HF~ I-F IVXBP LJTGL TAQ TFMCV TUS UB9 UU8 V3K V4Q ADYSH IQODW |
| ID | FETCH-LOGICAL-c325t-c0d91f7efc9b6c8c1bbba1eedb89cde7c5eec8c8f71ee1113de98e5ed77fedfb3 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 12 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000072390400011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0163-0563 |
| IngestDate | Mon Jul 21 09:14:41 EDT 2025 Tue Nov 18 22:27:40 EST 2025 Sat Nov 29 01:37:27 EST 2025 Mon Oct 20 23:35:32 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1-2 |
| Keywords | Hilbert space Semigroup Approximation theory Fix point |
| Language | English |
| License | CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c325t-c0d91f7efc9b6c8c1bbba1eedb89cde7c5eec8c8f71ee1113de98e5ed77fedfb3 |
| PageCount | 7 |
| ParticipantIDs | pascalfrancis_primary_2333121 informaworld_taylorfrancis_310_1080_01630569808816821 crossref_primary_10_1080_01630569808816821 crossref_citationtrail_10_1080_01630569808816821 |
| PublicationCentury | 1900 |
| PublicationDate | 1/1/1998 1998-01-00 1998 |
| PublicationDateYYYYMMDD | 1998-01-01 |
| PublicationDate_xml | – month: 01 year: 1998 text: 1/1/1998 day: 01 |
| PublicationDecade | 1990 |
| PublicationPlace | Philadelphia, PA |
| PublicationPlace_xml | – name: Philadelphia, PA |
| PublicationTitle | Numerical functional analysis and optimization |
| PublicationYear | 1998 |
| Publisher | Marcel Dekker, Inc Taylor & Francis |
| Publisher_xml | – name: Marcel Dekker, Inc – name: Taylor & Francis |
| References | Browder F.E. (CIT0003) 1967; 24 Opial Z. (CIT0010) 1967; 73 CIT0001 Halpern B (CIT0006) 1967; 73 Baillon J.B. (CIT0002) 1976; 2 Watson B. (CIT0013) 1992; 58 Xu H.K. (CIT0015) 1997; 324 Xu H.K. (CIT0014) 1995; 24 Marino G. (CIT0008) 1992; 34 Morales C.H. (CIT0009) 1990; 16 Shimizu T. (CIT0012) 1997; 211 Reich S. (CIT0011) 1980; 75 CIT0005 CIT0004 CIT0007 |
| References_xml | – volume: 34 start-page: 91 year: 1992 ident: CIT0008 publication-title: On approximating fixed points for nonexpansive maps – volume: 73 start-page: 957 year: 1967 ident: CIT0006 publication-title: Fixed points of nonexpanding maps – volume: 73 start-page: 595 year: 1967 ident: CIT0010 publication-title: Weak convergence of the sequence of successive approximations for nonexpansive mappings – volume: 24 start-page: 223 year: 1995 ident: CIT0014 publication-title: Strong convergence theorems for nonexpansive nonself-mappings – volume: 75 start-page: 287 year: 1980 ident: CIT0011 publication-title: Strong cconvergence theorems for resolvents of accretive operators in Banach spaces – volume: 324 volume-title: Approximating curves of nonexpansive nonself-mappings in Banach spaces year: 1997 ident: CIT0015 – volume: 211 start-page: 71 year: 1997 ident: CIT0012 publication-title: Strong convergence to common fixed points of families of nonexpansive mappings – volume: 24 start-page: 82 year: 1967 ident: CIT0003 publication-title: Convergence of approximations to fixed points of nonexpansive nonlinear mappings in Banach spaces – volume: 16 start-page: 549 year: 1990 ident: CIT0009 publication-title: Strong convergence theorems for pseudo-contractive mappings in Banach space – volume: 2 start-page: 5 year: 1976 ident: CIT0002 publication-title: Une remarque sur le comportement asymptotique des semigroupes non linéaires – ident: CIT0001 – ident: CIT0007 – ident: CIT0004 – ident: CIT0005 – volume: 58 start-page: 486 year: 1992 ident: CIT0013 publication-title: Approximation of fixed points of nonexpansive mappings |
| SSID | ssj0003298 |
| Score | 1.5057484 |
| Snippet | Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The... |
| SourceID | pascalfrancis crossref informaworld |
| SourceType | Index Database Enrichment Source Publisher |
| StartPage | 157 |
| SubjectTerms | 1991 Mathematics Subject Classification Primary 47H20 1991 mathematics subject classification primary Secondary 47H10 1991 Mathematics Subject Classification. Primary 47H09 contraction semigroup Exact sciences and technology Fixed point Hilbert space Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use strong convergence |
| Title | Approximations to fixed points of contraction semigroups in hilbert spaces |
| URI | https://www.tandfonline.com/doi/abs/10.1080/01630569808816821 |
| Volume | 19 |
| WOSCitedRecordID | wos000072390400011&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 Journals customDbUrl: eissn: 1532-2467 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0003298 issn: 0163-0563 databaseCode: TFW dateStart: 19790101 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3NS8MwFA8yPOjBb3HqJAdPQrFp1jU5DnGI4PAwcbeSpAkWtBtLlf35vqQfbCI76DUkr21e8t5L-t7vh9B1BDGQlHEUDDLiSnJCHfAkDMEYMsGE1LEg0pNNJOMxm075c52bY-u0SneGNhVQhLfVbnMLaZuMuFuIUlzgy0GeY43wZeTg9t22nIxeWztMI8-E63oH0J02_zR_k7DmldYwS12ypLAwX6YiuljxPqP9f773Adqrw048rNbJIdrSxRHafWoxW-0xehw6ePFlXtUyWlzOsMmXOsPzWV6UFs8M9nntVSUEtvoj9yUhFucFfssdVlaJwT6B4TlBL6P7yd1DUDMtBIpGcRmoMOPEJNooLgeKKSKlFATcp2RcZTpRsdbQzEwCjY6cPtOc6VhnSWJ0ZiQ9RZ1iVugzhIXqQ4g1IEZI06cKVA4HrFhmnEn4ckK7KGxmOlU1DLljw3hPSYNW-nOauuimHTKvMDg2dY5X1ZeW_uKjVl5KN4zrrem5fVJEKSUROf-j3Au0U5UxulubS9QpF5-6h7bVV5nbxZVfsd91xOoG |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEA5SBfXgW6xazcGTsLjZNN3kWMTioy0eKva2bF64oNvSrNKfb7IvWpEe9BqS7G4mOzOZzHwfAFeB9YE4J4HXkciV5PjKY6HvW2VIYxpzRWLEc7KJcDik4zF7LgNupkyrdGdoXQBF5Lra_dwuGF2lxN1YN8V5vsxO6GgjXB35OrF21mHnj3qvtSbGQc6F67p7tj-ubjV_m2LJLi2hlrp0ydjYFdMF1cWC_ent_vfN98BO6XnCbrFV9sGaSg_A9qCGbTWH4LHrEMbnSVHOaGA2gTqZKwmnkyTNDJxomKe2F8UQ0KiPJK8KMTBJ4Vvi4LIyaFWU1T1H4KV3N7q990qyBU_ggGSe8CVDOlRaMN4RVCDOeYysBeWUCalCQZSyzVSHttHx00vFqCJKhqFWUnN8DBrpJFUnAMaibb2sDtIx120srNTtGYtwySi3X45wE_jVUkeiRCJ3hBjvEaoAS38uUxNc10OmBQzHqs5kUX5Rlsc-SulFeMW41pKg6ycFGGMUoNM_znsJNu9Hg37Ufxg-nYGtoqrRBXHOQSObfaoW2BBfWWJmF_n2_QZFZe4w |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELZQQQgG3ogCBQ9MSBFx3CT2WAEVz6pDEd2i-CUiQVLVAfXnY-elFqEOsFpnJ_Fdzmf77vsAuPBMDMSY7zmBQLYkx5UODV3XOEMSk5hJP0asIJsIBwMyHtNhlZujq7RKu4dWJVBE4avtzz0Rqs6IuzJRig18qRnPskbYMvJVEzYH1sBH_dfGEWOvoMK14o6Rx_Wl5m9DLCxLC6ClNlsy1mbCVMl0Mbf89Lf_-eI7YKuKO2GvNJRdsCLTPbD53IC26n3w0LP44rOkLGbUMM-gSmZSwEmWpLmGmYJFYntZCgG1_EiKmhANkxS-JRYsK4fGQRnPcwBe-rej6zunolpwOPb83OGuoEiFUnHKAk44YozFyKyfjFAuZMh9KU0zUaFptOz0QlIifSnCUEmhGD4ErTRL5RGAMe-aGCtAKmaqi7nRudlh-UxQwsyXI9wGbj3TEa9wyC0dxnuEarjSn9PUBpdNl0kJwrFM2J9XX5QXJx-V8iK8pF9nQc_NkzyMMfLQ8R_HPQfrw5t-9HQ_eDwBG2VJoz3BOQWtfPopO2CNf-WJnp4VxvsNirns4g |
| 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=Approximations+to+fixed+points+of+contraction+semigroups+in+Hilbert+spaces&rft.jtitle=Numerical+functional+analysis+and+optimization&rft.au=XU%2C+H.-K&rft.date=1998&rft.pub=Taylor+%26+Francis&rft.issn=0163-0563&rft.volume=19&rft.issue=1-2&rft.spage=157&rft.epage=163&rft_id=info:doi/10.1080%2F01630569808816821&rft.externalDBID=n%2Fa&rft.externalDocID=2333121 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0163-0563&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0163-0563&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0163-0563&client=summon |