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Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
Authors:Yekini Shehu
Institution:(1) College of Applied Science, Beijing University of Technology, Beijing, 100124, PR China;(2) College of Mathematics, Jilin Normal University, Siping, Jilin, 136000, PR China
Abstract:In this paper, a new iterative scheme by hybrid method is constructed. Strong convergence of the scheme to a common element of the set of common fixed points of a finite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. Our results extend important recent results.
Keywords:
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