Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 754320, 11 pages
doi:10.1155/2010/754320
Strong Convergence Theorems of Common Fixed Points for a Family of Quasi-ϕ-Nonexpansive Mappings
Xiaolong Qin1
, Yeol Je Cho2
, Sun Young Cho3
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
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.