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2012 An Iterative Method for Mixed Point Problems of Nonexpansive and Monotone Mappings and Generalized Equilibrium Problems
Jerry N. Ezeora, Yekini Shehu
Commun. Math. Anal. 12(1): 76-95 (2012).

Abstract

In this paper, we introduce an iterative scheme for finding the common element of the set of fixed points of a countable family of nonexpansive mappings, the set of solutions of variational inequality for $\mu$-Lipschitzian, relaxed $(\lambda,\gamma)$-cocoercive mapping and the set of solutions of a generalized equilibrium problem. We show that the iterative sequence converges strongly to a common element of the three sets. Our results generalize many recent results, for example, the results of B. Ali [2].

Citation

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Jerry N. Ezeora. Yekini Shehu. "An Iterative Method for Mixed Point Problems of Nonexpansive and Monotone Mappings and Generalized Equilibrium Problems." Commun. Math. Anal. 12 (1) 76 - 95, 2012.

Information

Published: 2012
First available in Project Euclid: 12 August 2011

zbMATH: 1234.47048
MathSciNet: MR2846204

Subjects:
Primary: 47H06, 47H09, 47J05, 47J25

Rights: Copyright © 2012 Mathematical Research Publishers

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Vol.12 • No. 1 • 2012
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