A modified proximal point algorithm in geodesic metric space

Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) space...

Full description

Saved in:
Bibliographic Details
Published in:AIMS mathematics Vol. 8; no. 2; pp. 4304 - 4320
Main Authors: Garodia, Chanchal, Uddin, Izhar, Abdalla, Bahaaeldin, Abdeljawad, Thabet
Format: Journal Article
Language:English
Published: AIMS Press 01.01.2023
Subjects:
cat space
minimization problem
nonexpansive mappings
proximal point algorithm
resolvent operator
ISSN:2473-6988, 2473-6988
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) spaces. We prove $ \Delta $ and strong convergence of the proposed algorithm. Our results extend and improve the corresponding recent results in the literature.
AbstractList Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) spaces. We prove Δ and strong convergence of the proposed algorithm. Our results extend and improve the corresponding recent results in the literature.
Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) spaces. We prove $ \Delta $ and strong convergence of the proposed algorithm. Our results extend and improve the corresponding recent results in the literature.
Author Garodia, Chanchal
Uddin, Izhar
Abdalla, Bahaaeldin
Abdeljawad, Thabet
Author_xml – sequence: 1
  givenname: Chanchal
  surname: Garodia
  fullname: Garodia, Chanchal
  organization: Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi-110025, India
– sequence: 2
  givenname: Izhar
  surname: Uddin
  fullname: Uddin, Izhar
  organization: Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi-110025, India
– sequence: 3
  givenname: Bahaaeldin
  surname: Abdalla
  fullname: Abdalla, Bahaaeldin
  organization: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
– sequence: 4
  givenname: Thabet
  surname: Abdeljawad
  fullname: Abdeljawad, Thabet
  organization: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia, Department of Medical Research, China Medical University, Taichung 40402, Taiwan
BookMark eNptUMtKw0AUHaSCtXbnB-QDTJ1XJxlwU4qPQsGNroebmZt2SpIJk1no35vaCiLezblc7nlwrsmkCx0ScsvoQmgh71tI-wWnXHAmL8iUy0LkSpfl5Nd-RebDcKCUcsYlL-SUPKyyNjhfe3RZH8OHb6HJ-uC7lEGzC9GnfZv5LtthcDh4m7WY4ghDDxZvyGUNzYDzM87I-9Pj2_ol374-b9arbQ6S8ZRXqJmzXEhglUWtitpSVhdKOlqVTqMbB5QQVnIlKMBSUO20EzU6zlBLMSObk64LcDB9HEPGTxPAm-9DiDsDMXnboNFqqXWNFXIFEritSqqK0YQtNQpNy1GLn7RsDMMQsTbWJ0g-dCmCbwyj5linOdZpznWOpLs_pJ8Q_75_ATJ-eSA
CitedBy_id crossref_primary_10_3390_sym15040922
Cites_doi 10.1007/s00009-017-0876-z
10.1080/02331934.2010.505962
10.1080/02331930290019413
10.1090/fic/003/09
10.1186/s13660-021-02618-7
10.1007/BF02566027
10.1016/j.na.2007.04.011
10.4310/CAG.1998.v6.n2.a1
10.1007/s40314-021-01646-9
10.1515/auom-2016-0052
10.1093/imanum/22.3.359
10.1007/s11075-019-00768-w
10.1007/s11856-012-0091-3
10.15807/jorsj.43.87
10.1051/m2an/197004R301541
10.1112/jlms/jdn087
10.1016/B978-0-12-080550-1.50034-2
10.11650/twjm/1500405357
10.1137/0329022
10.1007/s00009-015-0531-5
10.1090/S0002-9947-04-03515-9
10.1007/s13398-020-00872-w
10.1007/s10107-011-0472-0
10.1090/S0002-9904-1967-11864-0
10.1137/0314056
10.1006/jath.2000.3493
10.1007/s11587-021-00631-y
10.1016/j.na.2005.09.044
10.1155/2021/6951062
10.1186/s13660-018-1713-z
10.1016/j.camwa.2008.05.036
10.1090/S0002-9947-2014-05968-0
10.1186/s13663-015-0465-4
10.1007/s11590-014-0841-8
10.1007/BF02761171
10.1002/mma.5552
10.1016/j.na.2011.08.046
ContentType Journal Article
DBID AAYXX
CITATION
DOA
DOI 10.3934/math.2023214
DatabaseName CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList
CrossRef
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2473-6988
EndPage 4320
ExternalDocumentID oai_doaj_org_article_96599febe26a4a2cb80678d9159e3908
10_3934_math_2023214
GroupedDBID AAYXX
ADBBV
ALMA_UNASSIGNED_HOLDINGS
AMVHM
BCNDV
CITATION
EBS
FRJ
GROUPED_DOAJ
IAO
ITC
M~E
OK1
RAN
ID FETCH-LOGICAL-a412t-be91dc234a1bce967fc01f764d0b8d9edddda633c42630aa5309d9d3fed21e943
IEDL.DBID DOA
ISICitedReferencesCount 2
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000916223600007&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2473-6988
IngestDate Fri Oct 03 12:52:03 EDT 2025
Sat Nov 29 06:04:27 EST 2025
Tue Nov 18 21:45:10 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-a412t-be91dc234a1bce967fc01f764d0b8d9edddda633c42630aa5309d9d3fed21e943
OpenAccessLink https://doaj.org/article/96599febe26a4a2cb80678d9159e3908
PageCount 17
ParticipantIDs doaj_primary_oai_doaj_org_article_96599febe26a4a2cb80678d9159e3908
crossref_citationtrail_10_3934_math_2023214
crossref_primary_10_3934_math_2023214
PublicationCentury 2000
PublicationDate 2023-01-01
PublicationDateYYYYMMDD 2023-01-01
PublicationDate_xml – month: 01
  year: 2023
  text: 2023-01-01
  day: 01
PublicationDecade 2020
PublicationTitle AIMS mathematics
PublicationYear 2023
Publisher AIMS Press
Publisher_xml – name: AIMS Press
References key-10.3934/math.2023214-24
key-10.3934/math.2023214-46
key-10.3934/math.2023214-25
key-10.3934/math.2023214-26
key-10.3934/math.2023214-27
key-10.3934/math.2023214-28
key-10.3934/math.2023214-29
key-10.3934/math.2023214-40
key-10.3934/math.2023214-41
key-10.3934/math.2023214-6
key-10.3934/math.2023214-20
key-10.3934/math.2023214-42
key-10.3934/math.2023214-7
key-10.3934/math.2023214-21
key-10.3934/math.2023214-43
key-10.3934/math.2023214-8
key-10.3934/math.2023214-22
key-10.3934/math.2023214-44
key-10.3934/math.2023214-9
key-10.3934/math.2023214-23
key-10.3934/math.2023214-45
key-10.3934/math.2023214-2
key-10.3934/math.2023214-3
key-10.3934/math.2023214-4
key-10.3934/math.2023214-5
key-10.3934/math.2023214-1
key-10.3934/math.2023214-13
key-10.3934/math.2023214-35
key-10.3934/math.2023214-14
key-10.3934/math.2023214-36
key-10.3934/math.2023214-15
key-10.3934/math.2023214-37
key-10.3934/math.2023214-16
key-10.3934/math.2023214-38
key-10.3934/math.2023214-17
key-10.3934/math.2023214-39
key-10.3934/math.2023214-18
key-10.3934/math.2023214-19
key-10.3934/math.2023214-30
key-10.3934/math.2023214-31
key-10.3934/math.2023214-10
key-10.3934/math.2023214-32
key-10.3934/math.2023214-11
key-10.3934/math.2023214-33
key-10.3934/math.2023214-12
key-10.3934/math.2023214-34
References_xml – ident: key-10.3934/math.2023214-43
  doi: 10.1007/s00009-017-0876-z
– ident: key-10.3934/math.2023214-10
  doi: 10.1080/02331934.2010.505962
– ident: key-10.3934/math.2023214-7
  doi: 10.1080/02331930290019413
– ident: key-10.3934/math.2023214-12
  doi: 10.1090/fic/003/09
– ident: key-10.3934/math.2023214-20
  doi: 10.1186/s13660-021-02618-7
– ident: key-10.3934/math.2023214-39
  doi: 10.1007/BF02566027
– ident: key-10.3934/math.2023214-35
  doi: 10.1016/j.na.2007.04.011
– ident: key-10.3934/math.2023214-41
  doi: 10.4310/CAG.1998.v6.n2.a1
– ident: key-10.3934/math.2023214-21
  doi: 10.1007/s40314-021-01646-9
– ident: key-10.3934/math.2023214-19
  doi: 10.1515/auom-2016-0052
– ident: key-10.3934/math.2023214-11
  doi: 10.1093/imanum/22.3.359
– ident: key-10.3934/math.2023214-13
– ident: key-10.3934/math.2023214-25
  doi: 10.1007/s11075-019-00768-w
– ident: key-10.3934/math.2023214-15
  doi: 10.1007/s11856-012-0091-3
– ident: key-10.3934/math.2023214-36
– ident: key-10.3934/math.2023214-22
  doi: 10.15807/jorsj.43.87
– ident: key-10.3934/math.2023214-1
  doi: 10.1051/m2an/197004R301541
– ident: key-10.3934/math.2023214-8
  doi: 10.1112/jlms/jdn087
– ident: key-10.3934/math.2023214-32
  doi: 10.1016/B978-0-12-080550-1.50034-2
– ident: key-10.3934/math.2023214-9
– ident: key-10.3934/math.2023214-14
  doi: 10.11650/twjm/1500405357
– ident: key-10.3934/math.2023214-28
  doi: 10.1137/0329022
– ident: key-10.3934/math.2023214-23
  doi: 10.1007/s00009-015-0531-5
– ident: key-10.3934/math.2023214-31
  doi: 10.1090/S0002-9947-04-03515-9
– ident: key-10.3934/math.2023214-45
– ident: key-10.3934/math.2023214-24
  doi: 10.1007/s13398-020-00872-w
– ident: key-10.3934/math.2023214-16
  doi: 10.1007/s10107-011-0472-0
– ident: key-10.3934/math.2023214-6
  doi: 10.1090/S0002-9904-1967-11864-0
– ident: key-10.3934/math.2023214-2
  doi: 10.1137/0314056
– ident: key-10.3934/math.2023214-5
  doi: 10.1006/jath.2000.3493
– ident: key-10.3934/math.2023214-30
– ident: key-10.3934/math.2023214-26
  doi: 10.1007/s11587-021-00631-y
– ident: key-10.3934/math.2023214-34
  doi: 10.1016/j.na.2005.09.044
– ident: key-10.3934/math.2023214-46
  doi: 10.1155/2021/6951062
– ident: key-10.3934/math.2023214-27
  doi: 10.1186/s13660-018-1713-z
– ident: key-10.3934/math.2023214-33
  doi: 10.1016/j.camwa.2008.05.036
– ident: key-10.3934/math.2023214-38
  doi: 10.1090/S0002-9947-2014-05968-0
– ident: key-10.3934/math.2023214-40
– ident: key-10.3934/math.2023214-17
  doi: 10.1186/s13663-015-0465-4
– ident: key-10.3934/math.2023214-29
– ident: key-10.3934/math.2023214-42
– ident: key-10.3934/math.2023214-4
  doi: 10.1137/0329022
– ident: key-10.3934/math.2023214-18
  doi: 10.1007/s11590-014-0841-8
– ident: key-10.3934/math.2023214-3
  doi: 10.1007/BF02761171
– ident: key-10.3934/math.2023214-44
  doi: 10.1002/mma.5552
– ident: key-10.3934/math.2023214-37
  doi: 10.1016/j.na.2011.08.046
SSID ssj0002124274
Score 2.2340243
Snippet Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In...
SourceID doaj
crossref
SourceType Open Website
Enrichment Source
Index Database
StartPage 4304
SubjectTerms cat space
minimization problem
nonexpansive mappings
proximal point algorithm
resolvent operator
Title A modified proximal point algorithm in geodesic metric space
URI https://doaj.org/article/96599febe26a4a2cb80678d9159e3908
Volume 8
WOSCitedRecordID wos000916223600007&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: PRVAON
  databaseName: DOAJ Directory of Open Access Journals
  customDbUrl:
  eissn: 2473-6988
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002124274
  issn: 2473-6988
  databaseCode: DOA
  dateStart: 20160101
  isFulltext: true
  titleUrlDefault: https://www.doaj.org/
  providerName: Directory of Open Access Journals
– providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2473-6988
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002124274
  issn: 2473-6988
  databaseCode: M~E
  dateStart: 20160101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQxQAD4inKSx5gQhGJ7bqxxFJQKwZaMYDEFvlxLpHapGoLI7-dcxKqMiAWMmSILonzXXSP5O47Qi5jGdvUCht5aSES4EykHJMRuE7KvDA24VWj8GN3NEpfX9XT2qivUBNW0wPXwN0Ewjvl8VZMaqGZNWmwr06hGwbM16s237ir1pKpYIPRIAvMt-pKd664uMH4L_x7YGEwzw8ftEbVX_mUwS7ZaYJB2qsXsUc2oNgn28MVk-rigNz26LR0ucdIkYaSk3yKJ8zKvFhSPRmXmNq_TWle0DGUDhBxOg0jsixFQ2HhkLwM-s_3D1Ez8SDSImHLyIBKnGVc6MRYULLrbZz4rhQuNvjM4HDTknMbaNZjrTs8Vk457sGxBJTgR6RVlAUcEwrSpUaDTBJgworYgLNeewx4dOiXNm1y_Y1BZhs68DCVYpJhWhAQywJiWYNYm1ytpGc1DcYvcncBzpVMIK-uDqBKs0al2V8qPfmPi5ySrbCm-mvJGWkt5-9wTjbtxzJfzC-qtwX3w8_-F7Mtx0w
linkProvider Directory of Open Access Journals
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=A+modified+proximal+point+algorithm+in+geodesic+metric+space&rft.jtitle=AIMS+mathematics&rft.au=Chanchal+Garodia&rft.au=Izhar+Uddin&rft.au=Bahaaeldin+Abdalla&rft.au=Thabet+Abdeljawad&rft.date=2023-01-01&rft.pub=AIMS+Press&rft.eissn=2473-6988&rft.volume=8&rft.issue=2&rft.spage=4304&rft.epage=4320&rft_id=info:doi/10.3934%2Fmath.2023214&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_96599febe26a4a2cb80678d9159e3908
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2473-6988&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2473-6988&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2473-6988&client=summon