Composite viscosity methods for common solutions of general mixed equilibrium problem, variational inequalities and common fixed points

被引：0
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作者：
Lu-Chuan Ceng
Abdul Latif
Abdullah E Al-Mazrooei
机构：
[1] Shanghai Normal University,Department of Mathematics
[2] Scientific Computing Key Laboratory of Shanghai Universities,Department of Mathematics
[3] King Abdulaziz University,Department of Mathematics
[4] University of Jeddah,undefined
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
composite viscosity iterative algorithm; general mixed equilibrium; variational inequalities; nonexpansive mapping; inverse strongly monotone mapping; 49J30; 47H09; 47J20; 49M05;
D O I：
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摘要：
In this paper, we introduce a new composite viscosity iterative algorithm and prove the strong convergence of the proposed algorithm to a common fixed point of one finite family of nonexpansive mappings and another infinite family of nonexpansive mappings, which also solves a general mixed equilibrium problem and a finite family of variational inequalities. An example is also provided in support of the main result. The main result presented in this paper improves and extends some corresponding ones in the earlier and recent literature.
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