On a problem of common approximate fixed points
type: Item
instance of: scholarly article
title: On a problem of common approximate fixed points
zbMATH Open document ID: 1034.47024
DOI: 10.1016/S0362-546X(02)00276-6
author: Andrzej Wiśnicki
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: This paper presents a new approach to the problem of common approximate fixed points for a commuting family of nonexpansive mappings based on the concept of neocompact sets introduced by \textit{S. Fajardo} and \textit{H. J. Keilser} [Adv. Math. 120, 191--257 (1996; Zbl 0860.60028)].
reviewed by: Nicoleta Negoescu
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47S20
zbMATH DE Number: 1880115
zbMATH Keywords: nonexpansive retractions
zbMATH Keywords: nonstandard analysis
zbMATH Keywords: commuting mappings
zbMATH Keywords: fixed points
MaRDI profile type: Publication
cites work: Nonstandard methods in fixed point theory
cites work: Q3742397
cites work: A Fixed Point Free Nonexpansive Map
cites work: Measures of noncompactness in metric fixed point theory
cites work: Fixed points in the nonstandard hull of a Banach space
cites work: Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
cites work: A common fixed point theorem for a commuting family of nonexpansive mappings
cites work: Q4840693
cites work: Neometric spaces
cites work: Existence theorems in probability theory
cites work: Q3998720
cites work: A Remark on Nonexpansive Mappings
cites work: Rotative mappings in metric fixed point theory
cites work: Q4748648
cites work: Q3708229
cites work: Common fixed points and iteration of commuting nonexpansive mappings
cites work: Q4863306
cites work: Q4394934
cites work: Asymptotically nonexpansive mappings
cites work: Q3933449
cites work: Q3752078
cites work: Neocompact sets and the fixed point property
cites work: Q3374450
description: scientific article; zbMATH DE number 1880115