Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 280908, 10 pages
doi:10.1155/2008/280908
Research Article

Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

Yonghong Yao1 and Yeong-Cheng Liou2

 1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
Received 2 December 2007; Accepted 2 January 2008

Recommended by Ram Verma

Abstract

Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and Shahzad, and others.