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Generalized mixed equilibrium problem in Banach spaces 被引量:7

Generalized mixed equilibrium problem in Banach spaces
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摘要 This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-C- nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently. This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-C- nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently.
作者 张石生
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第9期1105-1112,共8页 应用数学和力学(英文版)
基金 supported by the Natural Science Foundation of Yibin University (No. 2009Z003)
关键词 small generalized mixed equilibrium problem variational inequality quasi- Ф-nonexpansive mapping maximal monotone operator monotone mapping small generalized mixed equilibrium problem, variational inequality, quasi- Ф-nonexpansive mapping, maximal monotone operator, monotone mapping
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