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WEAK CONVERGENCE OF AN ITERATIVE METHOD FOR EQUILIBRIUM PROBLEMS AND RELATIVELY NONEXPANSIVE MAPPINGS  

Cho, Sun Young (Department of Mathematics Gyeongsang National University)
Kang, Shin Min (Department of Mathematics and the RINS Gyeongsang National University)
Publication Information
Korean Journal of Mathematics / v.18, no.2, 2010 , pp. 105-118 More about this Journal
Abstract
The purpose of this paper is to consider an iterative method for an equilibrium problem and a family relatively nonexpansive mappings. Weak convergence theorems are established in uniformly smooth and uniformly convex Banach spaces.
Keywords
relatively nonexpansive mapping; nonexpansive mapping; generalized projection; equilibrium problem;
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