Abstract and Applied Analysis

A New Iterative Scheme for Countable Families of Weak Relatively Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems

Yekini Shehu

Full-text: Open access

Abstract

We construct a new iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings which is also a solution to a system of generalized mixed equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth using the properties of generalized f -projection operator. Using this result, we discuss strong convergence theorem concerning general H -monotone mappings and system of generalized mixed equilibrium problems in Banach spaces. Our results extend many known recent results in the literature.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 861031, 24 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170945

Digital Object Identifier
doi:10.1155/2010/861031

Mathematical Reviews number (MathSciNet)
MR2754201

Zentralblatt MATH identifier
1215.47085

Citation

Shehu, Yekini. A New Iterative Scheme for Countable Families of Weak Relatively Nonexpansive Mappings and System of Generalized Mixed Equilibrium Problems. Abstr. Appl. Anal. 2010 (2010), Article ID 861031, 24 pages. doi:10.1155/2010/861031. https://projecteuclid.org/euclid.aaa/1313170945


Export citation