Remarks on asymptotically nonexpansive mappings
type: Item
instance of: scholarly article
title: Remarks on asymptotically nonexpansive mappings
zbMATH Open document ID: 0957.47037
DOI: 10.1016/S0362-546X(98)00284-3
author: Hong-Kun Xu
author: Tae Hwa Kim
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-03-08T00:00:00Z
review text: It is known that the uniform convexity in every direction implies the existence of fixed points for a nonexpansive mapping \(T:C\to C\) if \(C\) is assumed to be weakly compact. It is still an open problem whether this is true for asymptotically nonexpansive mappings. The purpose of the paper is to present a partial answer to this question.
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1462152
zbMATH Keywords: asymptotically nonexpansive mapping
zbMATH Keywords: fixed point
zbMATH Keywords: uniform convexity in every direction
reviewed by: Stepan Agop Tersian
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00284-3
OpenAlex ID: W2080839378
description: scientific article; zbMATH DE number 1462152