## Abstract and Applied Analysis

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

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

#### 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

**Permanent link to this document**

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