Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces

Lu-Chuan Ceng, Ching-Feng Wen and Chin-Tzong Pang

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

Abstract: We propose some relaxed implicit and explicit viscosity approximation methods for hierarchical fixed point problems for a countable family of nonexpansive mappings in uniformly smooth Banach spaces. These relaxed viscosity approximation methods are based on the well‐known viscosity approximation method and hybrid steepest‐descent method. We obtain some strong convergence theorems under mild conditions.

Date: 2014
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https://doi.org/10.1155/2014/173461

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:173461

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