A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings, and Monotone Mappings

被引：0
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作者：
Jian-Wen Peng
Soon-Yi Wu
Gang-Lun Fan
机构：
[1] Chongqing Normal University,School of Mathematics
[2] National Cheng Kung University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Hilbert Space; Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Maximal Monotone;
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摘要：
We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpansive mapping, and the solutions set of a variational inequality problems for a monotone and [inline-graphic not available: see fulltext]-Lipschitz continuous mapping in a Hilbert space. Some convergence results for the iterative sequences generated by these processes are obtained. The results in this paper extend and improve some known results in the literature.
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