Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 754320, 11 pages
doi:10.1155/2010/754320
Research Article

Strong Convergence Theorems of Common Fixed Points for a Family of Quasi-ϕ-Nonexpansive Mappings

Xiaolong Qin,1 Yeol Je Cho,2 Sun Young Cho,3 and Shin Min Kang4

1Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
2Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
4Department of Mathematics and the RINS, Gyeongsang National University, Jinju 660-701, South Korea

Received 31 August 2009; Accepted 19 November 2009

Academic Editor: Tomonari Suzuki

Copyright © 2010 Xiaolong Qin et al. 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.

Abstract

We consider a modified Halpern type iterative algorithm for a family of quasi-ϕ-nonexpansive mappings in the framework of Banach spaces. Strong convergence theorems of the purposed iterative algorithms are established.