Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces

Shih sen Chang; Heung Wing Joseph Lee; Chi Kin Chan

doi:10.1016/j.amc.2009.01.086

Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces

Shih sen Chang, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publication › Journal article › Academic research › peer-review

12 Citations (Scopus)

Abstract

The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors.

Original language	English
Pages (from-to)	60-65
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	212
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2009.01.086
Publication status	Published - 1 Jun 2009

Keywords

Asymptotically nonexpansive semigroups
Common fixed point
Lipschitzian pseudocontraction semigroup
Normalized duality mapping
Uniform normal structure
Uniformly Gâteaux differentiable norm

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics

More information

10.1016/j.amc.2009.01.086

Cite this

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title = "Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces",

abstract = "The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors.",

keywords = "Asymptotically nonexpansive semigroups, Common fixed point, Lipschitzian pseudocontraction semigroup, Normalized duality mapping, Uniform normal structure, Uniformly G{\^a}teaux differentiable norm",

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AU - Lee, Heung Wing Joseph

AU - Chan, Chi Kin

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N2 - The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors.

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KW - Common fixed point

KW - Lipschitzian pseudocontraction semigroup

KW - Normalized duality mapping

KW - Uniform normal structure

KW - Uniformly Gâteaux differentiable norm

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JO - Applied Mathematics and Computation

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Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

More information

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