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2014 Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces
Lu-Chuan Ceng, Ching-Feng Wen, Chin-Tzong Pang
Abstr. Appl. Anal. 2014(SI57): 1-15 (2014). DOI: 10.1155/2014/173461


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.


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Lu-Chuan Ceng. Ching-Feng Wen. Chin-Tzong Pang. "Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces." Abstr. Appl. Anal. 2014 (SI57) 1 - 15, 2014.


Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07021863
MathSciNet: MR3166573
Digital Object Identifier: 10.1155/2014/173461

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI57 • 2014
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