Approximating common fixed points of families of quasi-nonexpansive mappings
type: Item
instance of: scholarly article
title: Approximating common fixed points of families of quasi-nonexpansive mappings
zbMATH Open document ID: 0840.47044
DOI: 10.1155/S0161171295000354
author: M. K. Ghosh
author: Lokenath Debnath
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-07-07T00:00:00Z
full work available at URL: https://eudml.org/doc/47431
full work available at URL: issue-2.html
review text: Summary: This paper deals with a family of quasi-nonexpansive mappings in a uniformly convex Banach space, and the convergence of iterates generated by this family. A fixed point theorem for two quasi-nonexpansive mappings is proved. This theorem is then extended for a finite family of quasi-nonexpansive mappings. It is shown that \textit{S. Ishikawa's} [Proc. Am. Math. Soc. 44, 147-150 (1974; Zbl 0286.47036)] result follows as special case of results proved in this paper.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 753685
zbMATH Keywords: quasi-nonexpansive mappings in a uniformly convex Banach space
zbMATH Keywords: convergence of iterates
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
OpenAlex ID: W2102181161
description: scientific article; zbMATH DE number 753685