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A CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES

ArticleAçık Erişim

Özet

The aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].

Anahtar Kelimeler

convex metric spacescone metric spacesI-nonexpansive mappingscommon fixed pointstrong convergenceNONEXPANSIVE-MAPPINGSFINITE FAMILYITERATIONMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/16670Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1501/commua1_0000000869Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGunduz, Birol
dc.date.accessioned2026-10-18T20:36:32.568710476Z
dc.date.available2026-10-18T20:36:32.568710476Z
dc.date.issued2018
dc.description.abstractThe aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].
dc.identifier.doi10.1501/commua1_0000000869
dc.identifier.endpage155
dc.identifier.issn1303-5991
dc.identifier.issue2
dc.identifier.startpage147
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16670
dc.identifier.volume67
dc.identifier.wosWOS:000439232800014
dc.language.isoen
dc.publisherANKARA UNIV, FAC SCI
dc.relation.ispartofCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectconvex metric spaces
dc.subjectcone metric spaces
dc.subjectI-nonexpansive mappings
dc.subjectcommon fixed point
dc.subjectstrong convergence
dc.subjectNONEXPANSIVE-MAPPINGS
dc.subjectFINITE FAMILY
dc.subjectITERATION
dc.subjectMathematics
dc.titleA CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos0
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)