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

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  • Jinfang Tang

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.

Suggested Citation

  • Jinfang Tang, 2014. "Viscosity Approximation Methods for a Family of Nonexpansive Mappings in CAT(0) Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:389804
    DOI: 10.1155/2014/389804
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    References listed on IDEAS

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    1. Luo Yi Shi & Ru Dong Chen, 2012. "Strong Convergence of Viscosity Approximation Methods for Nonexpansive Mappings in CAT(0) Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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