Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces

Zhi-bin Liu, Yi-shen Chen, Xue-song Li and Yi-bin Xiao

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the -convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the strong convergence theorems of implicit Ishikawa iteration sequences for nonexpansive semigroups in the CAT(0) spaces. The results presented in this paper extend and generalize some previous results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:503198

DOI: 10.1155/2013/503198

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