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

被引：0
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作者：
Hong Yu Li
Hong Zhi Li
机构：
[1] TianJin Polytechnic University,Department of Mathematics
[2] Agricultural University of Hebei,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2009卷
关键词：
Hilbert Space; Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Strong Convergence;
D O I：
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摘要：
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.
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