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

Yekini Shehu

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-22

Abstract:

We introduce a new iterative scheme by hybrid method for finding a common 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 the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three sets. We give some applications of our results. Our results extend important recent results.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:734082

DOI: 10.1155/2011/734082

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