Strong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach SpacesReport as inadecuate




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Abstract and Applied AnalysisVolume 2013 2013, Article ID 619762, 9 pages

Research Article

Department of Applied Mathematics and Physics, North China Electric Power University, Baoding 071003, China

Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 1 February 2013; Accepted 9 March 2013

Academic Editor: Yisheng Song

Copyright © 2013 Shenghua Wang and Shin Min Kang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We first introduce the concept of Bregman asymptotically quasinonexpansivemappings and prove that the fixed point set of this kind of mappings is closedand convex. Then we construct an iterative scheme to find a common element of the set ofsolutions of an equilibrium problem and the set of common fixed points of a countable familyof Bregman asymptotically quasinonexpansive mappings in reflexive Banach spaces and provestrong convergence theorems. Our results extend the recent ones of some others.





Author: Shenghua Wang and Shin Min Kang

Source: https://www.hindawi.com/



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