Skip to main content
Download PDF
  • Research Article
  • Open access
  • Published:

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

Fixed Point Theory and Applications volume 2008, Article number: 324575 (2008) Cite this article

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.

Author information

Authors and Affiliations

  1. College of Mathematics and Physics, Chongqing University of Post Telecommunications, Chongqing, 400065, China

    You Xian Tian

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

    Shih-sen Chang, Jialin Huang & Xiongrui Wang

  3. Department of Mathematics, Kyungnam University, Masan, 631-701, South Korea

    J. K. Kim

Authors
  1. You Xian Tian
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shih-sen Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jialin Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiongrui Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. K. Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to You Xian Tian.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Tian, Y.X., Chang, Ss., Huang, J. et al. Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces. Fixed Point Theory Appl 2008, 324575 (2008). https://doi.org/10.1155/2008/324575

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/324575

Keywords