An Iterative Method for Fixed Points of A Single-Valued Mapping,A Variational Inclusion and An Equilibrium Problem

Xin-kun Wu · 2010

In this paper,the main contents are a strong convergence theorem and its proof.Firstly,a new iterative algorithm in this theorem,which generates a new sequence,is constructed.Secondly,the convergence point of the iterative sequence is proved to be a comment element of the set of all fixed points of a nonexpansive single-valued mapping,the set of the solutions of a variational inclusion and the set of all equilibrium points of a monotone mapping.

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