Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings.
type: Item
instance of: scholarly article
title: Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings.
zbMATH Open document ID: 1037.47043
DOI: 10.1016/S0022-247X(02)00572-3
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The authors give affirmative answers to the following questions: (1) Is it possible to construct an approximate fixed point sequence for the class of asymptotically pseudocontractive operators in spaces more general than Hilbert spaces? (2) Can an iterative algorithm be constructed which converges to a fixed point of an asymptotically pseudocontractive operator in Banach spaces which include \(L_p\) spaces, \(1<p<+\infty\)?
reviewed by: Ioan A. Rus
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1915714
zbMATH Keywords: iteration methods
zbMATH Keywords: approximate fixed point sequence
zbMATH Keywords: asymptotically pseudocontractive operators
zbMATH Keywords: uniformly asymptotically regular operators
author: C. E. Chidume
author: H. Zegeye
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915714