A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems

被引：0
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作者：
Yonghong Yao
Yeong-Cheng Liou
Jen-Chih Yao
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Cheng Shiu University,Department of Information Management
[3] National Sun Yat-Sen University,Department of Applied Mathematics
来源：
Fixed Point Theory and Applications | / 2008卷
关键词：
Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Lower Semicontinuous; Real Hilbert Space;
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摘要：
We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem. This study, proves a strong convergence theorem by the proposed hybrid iterative algorithm which solves fixed-point problems, variational inequality problems, and mixed equilibrium problems.
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