Abstract and Applied Analysis

Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces

Prasit Cholamjiak and Suthep Suantai

Full-text: Open access

Abstract

We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong convergence theorem by the shrinking projection method. In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 141376, 17 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620764

Digital Object Identifier
doi:10.1155/2010/141376

Mathematical Reviews number (MathSciNet)
MR2680415

Zentralblatt MATH identifier
1206.47069

Citation

Cholamjiak, Prasit; Suantai, Suthep. Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces. Abstr. Appl. Anal. 2010 (2010), Article ID 141376, 17 pages. doi:10.1155/2010/141376. https://projecteuclid.org/euclid.aaa/1288620764


Export citation