A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings
type: Item
instance of: scholarly article
zbMATH Open document ID: 1248.47058
author: Siwaporn Saewan
author: Poom Kumam
publication date: 2012-05-30T00:00:00Z
full work available at URL: p313.html
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 6039388
zbMATH Keywords: Banach space
zbMATH Keywords: common fixed point
zbMATH Keywords: hybrid projection method
zbMATH Keywords: \(B\)-monotone mappings
zbMATH Keywords: generalized \(f\)-projection operator
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: relatively quasi-nonexpansive mapping
MaRDI profile type: Publication
title: A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings
published in: Journal of Nonlinear and Convex Analysis
review text: There are many methods for approximating common fixed points of a family of nonexpansive mappings in a uniformly smooth and uniformly convex Banach space. The purpose of this paper is to answer the following questions: (a) Can these alghorithms still be valid for relatively quasi-nonexpansive mappings? (b) Is it possible to construct an approximate fixed point sequence for finding common fixed points of an infinite family of relatively quasi-nonexpansive mappings in more general Banach spaces?
reviewed by: Ioan A. Rus
description: scientific article; zbMATH DE number 6039388