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Fixed Point Theory and Applications | Vol.2007, Issue.1 | 2017-05-30 | Pages

Fixed Point Theory and Applications

Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings

Yao Yonghong,Liou Yeong-Cheng,Yao Jen-Chih  
Abstract

We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.

Original Text (This is the original text for your reference.)

Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings

We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.

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Yao Yonghong,Liou Yeong-Cheng,Yao Jen-Chih,.Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings. 2007 (1),.

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