Open Access

Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces

  • You Xian Tian1Email author,
  • Shih-sen Chang2,
  • Jialin Huang2,
  • Xiongrui Wang2 and
  • J. K. Kim3
Fixed Point Theory and Applications20082008:324575

DOI: 10.1155/2008/324575

Received: 25 May 2008

Accepted: 3 September 2008

Published: 11 September 2008

Abstract

In this paper, a new implicit iteration process with errors for finite families of strictly asymptotically pseudocontractive mappings and nonexpansive mappings is introduced. By using the iterative process, some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are proved. The results presented in the paper are new which extend and improve some recent results of Osilike et al. (2007), Liu (1996), Osilike (2004), Su and Li (2006), Gu (2007), Xu and Ori (2001).

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
College of Mathematics and Physics, Chongqing University of Post Telecommunications
(2)
Department of Mathematics, Yibin University
(3)
Department of Mathematics, Kyungnam University

Copyright

© You Xian Tian et al. 2008

This article is published under license to BioMed Central Ltd. 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.