Viscosity Approximation Methods for a Family of Nonexpansive Mappings in CAT(0) Spaces

Jinfang Tang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The purpose of this paper is using the viscosity approximation method to study the strong convergence problem for a family of nonexpansive mappings in CAT(0) spaces. Under suitable conditions, some strong convergence theorems for the proposed implicit and explicit iterative schemes to converge to a common fixed point of the family of nonexpansive mappings are proved which is also a unique solution of some kind of variational inequalities. The results presented in this paper extend and improve the corresponding results of some others.

Date: 2014
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https://doi.org/10.1155/2014/389804

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:389804

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