Iteration processes of asymptotically pseudo-contractive mappings in Banach spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0989.47044
author: Jong Yeoul Park
author: Jae Ug Jeong
publication date: 2002-07-22T00:00:00Z
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1672531
zbMATH Keywords: fixed point
zbMATH Keywords: asymptotically pseudo-contractive mapping
zbMATH Keywords: Mann/Ishikawa iteration process
zbMATH Keywords: asymptotically nonexpansive mapping
MaRDI profile type: Publication
title: Iteration processes of asymptotically pseudo-contractive mappings in Banach spaces
published in: Bulletin of the Korean Mathematical Society
review text: Let \(E\) be a real uniformly smooth Banach space, \(D\) a nonempty bounded closed convex subset of \(E\) and \(T\) a map from \(D\) into itself such that \(T\) is asymptotically pseudo-contractive or nonexpansive. Then the authors study the iterative approximate problems of fixed points maps \(T\) by the modified Mann and Ishikawa iteration processes with errors in \(E\). Results of this paper improve and extend some results of \textit{Q. H. Liu} [Nonlinear Anal. Theory Math. Appl. 26, No. 11, 1835-1842 (1996; Zbl 0861.47047)] and \textit{J. Schu} [J. Math. Anal. Appl. 158, No. 2, 407-413 (1991; Zbl 0734.47036)].
description: scientific article; zbMATH DE number 1672531