Strong convergence theorems for lipschitzian demicontraction semigroups in banach spaces

Yeol Je Cho; Shih Sen Chang; Heung Wing Joseph Lee; Chi Kin Chan

doi:10.1155/2011/583423

Strong convergence theorems for lipschitzian demicontraction semigroups in banach spaces

Yeol Je Cho, Shih Sen Chang, Heung Wing Joseph Lee, Chi Kin Chan

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

10 Citations (Scopus)

Abstract

The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main results presented in this paper not only extend and improve some recent results announced by many authors, but also give an affirmative answer for the open questions raised by Suzuki (2003) and Xu (2005).

Original language	English
Article number	583423
Journal	Fixed Point Theory and Applications
Volume	2011
DOIs	https://doi.org/10.1155/2011/583423
Publication status	Published - 26 Apr 2011

ASJC Scopus subject areas

Applied Mathematics
Geometry and Topology

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10.1155/2011/583423

http://hdl.handle.net/10397/6572

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abstract = "The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main results presented in this paper not only extend and improve some recent results announced by many authors, but also give an affirmative answer for the open questions raised by Suzuki (2003) and Xu (2005).",

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Y1 - 2011/4/26

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AB - The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main results presented in this paper not only extend and improve some recent results announced by many authors, but also give an affirmative answer for the open questions raised by Suzuki (2003) and Xu (2005).

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Strong convergence theorems for lipschitzian demicontraction semigroups in banach spaces

Abstract

ASJC Scopus subject areas

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