International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 106323, 16 pages
Research Article

A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi- 𝜙 -Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China

Received 14 February 2011; Accepted 14 April 2011

Academic Editor: Vittorio Colao

Copyright © 2011 J. F. Tan and S. S. Chang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi- 𝜙 -asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾 -inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.