Generalized projection and approximation of fixed points of nonself maps
type: Item
instance of: scholarly article
title: Generalized projection and approximation of fixed points of nonself maps
zbMATH Open document ID: 1022.47049
DOI: 10.1016/S0021-9045(02)00021-7
published in: Journal of Approximation Theory
publication date: 2003-04-02T00:00:00Z
review text: Using the concept of generalized projection, which extends the notion of metric projection from Hilbert to Banach spaces, the authors obtain weak and strong convergence theorems regarding the approximation of fixed points of some classes of nonself generalized contractive maps, i.e., asymptotically weakly suppressive mappings, asymptotically nonextensive mappings and asymptotically weakly contractive mappings. The obtained convergence theorems extend and improve several results of \textit{Y. Alber} and \textit{S. Guerre-Delabriere} [Analysis, München 21, 17-39 (2001; Zbl 0985.47044)].
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1891285
zbMATH Keywords: Banach space
zbMATH Keywords: generalized projection
zbMATH Keywords: fixed point
zbMATH Keywords: asymptotically weakly suppressive mapping
zbMATH Keywords: asymptotically nonextensive mapping
zbMATH Keywords: asymptotically weakly contractive mapping
zbMATH Keywords: convergence rate
zbMATH Keywords: stability
author: C. E. Chidume
author: Melusi Khumalo
author: H. Zegeye
reviewed by: Vasile Berinde
MaRDI profile type: Publication
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full work available at URL: s0021-9045(02)00021-7
OpenAlex ID: W2093730089
description: scientific article; zbMATH DE number 1891285