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

Poom Kumam | Zendy; Chaichana Jaiboon | Zendy

Open Access

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

Author(s) -

Poom Kumam,

Chaichana Jaiboon

Publication year - 2011

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/2011/347204

Subject(s) - variational inequality , mathematics , hilbert space , monotone polygon , convergence (economics) , differential geometry , strongly monotone , set (abstract data type) , solution set , regular polygon , convex set , inverse , pure mathematics , convex optimization , computer science , geometry , economics , programming language , economic growth

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.

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