Convergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spaces
type: Item
instance of: scholarly article
title: Convergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spaces
zbMATH Open document ID: 1473.47048
DOI: 10.1155/2014/584395
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 7022657
zbMATH Keywords: strong convergence
zbMATH Keywords: common fixed point
zbMATH Keywords: right Bregman strongly nonexpansive mappings
zbMATH Keywords: real reflexive Banach spaces
zbMATH Keywords: maximal monotone mappings
Wikidata QID: Q59039650
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/584395
OpenAlex ID: W2170330346
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description: scientific article; zbMATH DE number 7022657