## Abstract and Applied Analysis

### A New Iterative Method for Solving a System of Generalized Mixed Equilibrium Problems for a Countable Family of Generalized Quasi-ϕ-Asymptotically Nonexpansive Mappings

Wei-Qi Deng

#### Abstract

By using a specific way of choosing the indexes, we introduce an up-to-date iterative algorithm for approximating common fixed points of a countable family of generalized quasi-ϕ-asymptotically nonexpansive mappings and obtain a strong convergence theorem under some suitable conditions. As application, an iterative solution to a system of generalized mixed equilibrium problems is studied. The results extend those of other authors, in which the involved mappings consist of just finite families.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 573583, 6 pages.

Dates
First available in Project Euclid: 18 April 2013

https://projecteuclid.org/euclid.aaa/1366306738

Digital Object Identifier
doi:10.1155/2013/573583

Mathematical Reviews number (MathSciNet)
MR3034900

#### Citation

Deng, Wei-Qi. A New Iterative Method for Solving a System of Generalized Mixed Equilibrium Problems for a Countable Family of Generalized Quasi- ϕ -Asymptotically Nonexpansive Mappings. Abstr. Appl. Anal. 2013 (2013), Article ID 573583, 6 pages. doi:10.1155/2013/573583. https://projecteuclid.org/euclid.aaa/1366306738

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