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Fixed Point Theory and Applications | Vol.2009, Issue.1 | 2017-05-30 | Pages

Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems

Li HongZhi,Li HongYu

Abstract

We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points of finite many nonexpansive mappings. We prove strong convergence of the iterative sequence generated by the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for the minimization problem.

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

Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems

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Keywords

solutions variational inequality fixed points equilibrium minimization problem many nonexpansive iterative algorithm optimality condition

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Li HongZhi,Li HongYu,.Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems. 2009 (1),.

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