Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.
type: Item
instance of: scholarly article
title: Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.
zbMATH Open document ID: 1052.47054
DOI: 10.1016/S0022-247X(02)00497-3
author: J. K. Kim
author: Behzad Djafari Rouhani
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: In the present paper, the authors extend some results on weak convergence for the sequence of iterates \(\{T^n x\}\) for a nonexpansive mapping \(T\) from Banach spaces to a metric space \((M,\rho)\) with Hausdorff mapping \(T\) such that the triple \(\{M,\rho,\tau\}\) satisfies various types of \(\tau\)-Opial conditions, and from nonexpansive to right reversible semigroups of asymptotically nonexpansive type mappings.
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 1866754
zbMATH Keywords: weak convergence
zbMATH Keywords: \(\tau\)-Opial conditions
zbMATH Keywords: right reversible semigroups
zbMATH Keywords: asymptotically nonexpansive type mappings
reviewed by: Jarosław Górnicki
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00497-3
OpenAlex ID: W1965146720
description: scientific article; zbMATH DE number 1866754