Approximation of Common Solutions to System of Mixed Equilibrium Problems, Variational Inequality Problem, and Strict Pseudo-Contractive Mappings

Fixexd point theory and applications

Poom Kumam²  Chaichana Jaiboon³ 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand

关键词: Variational Inequality;    Equilibrium Problem;    Monotone Mapping;    Nonexpansive Mapping;    Iterative Scheme;   

DOI  :  10.1155/2011/347204

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions mapping, the set of common solutions of a system of two mixed equilibrium problems and the set of common solutions of the variational inequalities with inverse strongly monotone mappings. Strong convergence theorems are established in the framework of Hilbert spaces. Finally, we apply our results for solving convex feasibility problems in Hilbert spaces. Our results improve and extend the corresponding results announced by many others recently.

【 授权许可】

CC BY