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http://dx.doi.org/10.4134/CKMS.2013.28.2.335

A HYBRID METHOD FOR A COUNTABLE FAMILY OF LIPSCHITZ GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND AN EQUILIBRIUM PROBLEM  

Cholamjiak, Prasit (School of Science University of Phayao)
Cholamjiak, Watcharaporn (School of Science University of Phayao)
Suantai, Suthep (Department of Mathematics Faculty of Science Chiang Mai University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.2, 2013 , pp. 335-351 More about this Journal
Abstract
In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings and the solutions set of equilibrium problems. Some strong convergence theorems of the proposed iterative scheme are established by using the concept of W-mappings of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings.
Keywords
generalized asymptotically quasi-nonexpansive mapping; hybrid method; common fixed point; strong convergence; W-mapping;
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