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Convergence theorems of common elements for equilibrium problems and fixed point problems
Authors:Li Juan Zhang  Hui Tong
Institution:(1) College of Mathematics and Computer, Hebei University, Baoding, 071002, P. R. China
Abstract:In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of two asymptotically nonexpansive mappings in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.
Keywords:Equilibrium problems  asymptotically nonexpansive mapping  fixed point
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