On the convergence of an iteration process for nonself totally asymptotically I-quasi-nonexpansive mappings

Gunduz, Birol; Dutta, Hemen

doi:10.17777/pjms2017.20.3.377

On the convergence of an iteration process for nonself totally asymptotically I-quasi-nonexpansive mappings

ArticleAçık Erişim

Özet

In this paper, we first define nonself total asymptotically I-nonexpansive mappings and nonself total asymptotically I-quasi-nonexpansive mappings. Then, we prove weak and strong convergence theorems of a composite iterative process to a common fixed point of nonself total asymptotically quasi-nonexpansive mappings and nonself total asymptotically I-quasi-nonexpansive mappings, defined on a nonempty closed convex subset of uniformly convex Banach space.

Anahtar Kelimeler

Common fixed point Opial condition Semi compact Strong and weak convergence Total asymptotically nonexpansive mapping

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/ebyu/14880Resmi atıflarda kullanılan kalıcı adres

DOI

https://doi.org/10.17777/pjms2017.20.3.377Yayıncı resmi DOI adresi

Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Gunduz, Birol
dc.contributor.author	Dutta, Hemen
dc.date.accessioned	2026-10-18T20:29:40.453779651Z
dc.date.available	2026-10-18T20:29:40.453779651Z
dc.date.issued	2017
dc.description.abstract	In this paper, we first define nonself total asymptotically I-nonexpansive mappings and nonself total asymptotically I-quasi-nonexpansive mappings. Then, we prove weak and strong convergence theorems of a composite iterative process to a common fixed point of nonself total asymptotically quasi-nonexpansive mappings and nonself total asymptotically I-quasi-nonexpansive mappings, defined on a nonempty closed convex subset of uniformly convex Banach space.
dc.identifier.doi	10.17777/pjms2017.20.3.377
dc.identifier.endpage	389
dc.identifier.issn	1598-7264
dc.identifier.issue	3
dc.identifier.scopus	2-s2.0-85028753390
dc.identifier.startpage	377
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/ebyu/14880
dc.identifier.volume	20
dc.language.iso	en
dc.publisher	Jangjeon Research Institute for Mathematical Sciences and Physics
dc.relation.ispartof	Proceedings of the Jangjeon Mathematical Society
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Common fixed point
dc.subject	Opial condition
dc.subject	Semi compact
dc.subject	Strong and weak convergence
dc.subject	Total asymptotically nonexpansive mapping
dc.title	On the convergence of an iteration process for nonself totally asymptotically I-quasi-nonexpansive mappings
dc.type	Article
dspace.entity.type	Publication
rdl.citation.scopus	1
rdl.source.index	SCOPUS