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http://dx.doi.org/10.4134/CKMS.2011.26.1.051

ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS  

Cho, Sun-Young (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY)
Kang, Shin-Min (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)
Qin, Xiaolong (DEPARTMENT OF MATHEMATICS HANGZHOU NORMAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.1, 2011 , pp. 51-65 More about this Journal
Abstract
In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.
Keywords
equilibrium problem; nonexpansive mapping; inverse-strongly monotone mapping; contractive mapping;
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