A System of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Pseudocontractive Mappings in Hilbert Spaces

被引：0
作者：
Poom Kumam
Chaichana Jaiboon
机构：
[1] King Mongkut's University of Technology Thonburi,Department of Mathematics, Faculty of Science
[2] KMUTT,Department of Mathematics, Faculty of Liberal Arts
[3] Rajamangala University of Technology Rattanakosin,undefined
[4] RMUTR,undefined
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Hilbert Space; Variational Inequality; Iterative Algorithm; Equilibrium Problem; Nonexpansive Mapping;
D O I：
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学科分类号：
摘要：
We introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of a system of generalized mixed equilibrium problems, and the set of common solutions of the variational inequalities with inverse-strongly monotone mappings in Hilbert spaces. Furthermore, we prove new strong convergence theorems for a new iterative algorithm under some mild conditions. Finally, we also apply our results for solving convex feasibility problems in Hilbert spaces. The results obtained in this paper improve and extend the corresponding results announced by Qin and Kang (2010) and the previously known results in this area.
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