A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems

被引：0
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作者：
Nawitcha Onjai-uea
Chaichana Jaiboon
Poom Kumam
机构：
[1] King Mongkut's University of Technology Thonburi (Kmutt),Department of Mathematics, Faculty of Science
[2] Rajamangala University of Technology Rattanakosin (Rmutr),Department of Mathematics, Faculty of Liberal Arts
[3] Centre of Excellence in Mathematics,undefined
[4] Che,undefined
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
relaxed hybrid steepest descent method; inverse strongly monotone mappings; nonexpansive mappings; generalized mixed equilibrium problem;
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摘要：
In the setting of Hilbert spaces, we introduce a relaxed hybrid steepest descent method for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of a variational inequality for an inverse strongly monotone mapping and the set of solutions of generalized mixed equilibrium problems. We prove the strong convergence of the method to the unique solution of a suitable variational inequality. The results obtained in this article improve and extend the corresponding results.
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