Strong Convergence Theorems for a Finite Family of -Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections

Xin-dong Liu, Shih-sen Chang and Xiong-rui Wang

Journal of Applied Mathematics, 2012, vol. 2012, 1-10

Abstract:

A new hybrid projection algorithm is considered for a finite family of -strict pseudocontractions. Using the metric projection, some strong convergence theorems of common elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:759718

DOI: 10.1155/2012/759718

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