Convergence Analysis for Family of Weak Relatively Nonexpansive Mappings and System of Equilibrium Problems

Yekini Shehu

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  • Support Team

Abstract

In this paper, we construct a new iterative scheme by hybrid methods to approximate a common element of the fixed points set of an infinite family of weak relatively nonexpansive mappings and the solutions set of a system of equilibrium problems in a a uniformly smooth and strictly convex real Banach space with Kadec-Klee property using the properties of generalized f-projection operator. Then, we prove strong convergence of the scheme to a common element of the two sets. We give applications of our results in a Banach space. Our results extend many known recent results in the literature.

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Published

2013-12-01

How to Cite

Team, S. (2013). Convergence Analysis for Family of Weak Relatively Nonexpansive Mappings and System of Equilibrium Problems: Yekini Shehu. Thai Journal of Mathematics, 11(3), 519–541. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/395

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