Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems | Zendy

Yekini Shehu | Zendy

Open Access

Strong Convergence Theorems for Family of Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems

Author(s) -

Yekini Shehu

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/734082

Subject(s) - mathematics , variational inequality , hilbert space , convergence (economics) , scheme (mathematics) , element (criminal law) , set (abstract data type) , fixed point , pure mathematics , mathematical analysis , computer science , political science , law , economics , programming language , economic growth

We introduce a new iterative scheme by hybrid method for finding acommon element of the set of common fixed points of infinite family of nonexpansive mappings,the set of common solutions to a system of generalized mixed equilibrium problems, and theset of solutions to a variational inequality problem in a real Hilbert space. We then prove strongconvergence of the scheme to a common element of the three sets. We give some applications ofour results. Our results extend important recent results

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