Fixed Point Theory and Applications

, 2008:324575 | Cite as

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

  • You Xian Tian
  • Shih-sen Chang
  • Jialin Huang
  • Xiongrui Wang
  • J. K. Kim
Open Access
Research 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).

Keywords

Banach Space Recent Result Iterative Process Differential Geometry Convergence Theorem 

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Copyright information

© 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.

Authors and Affiliations

  • You Xian Tian
    • 1
  • Shih-sen Chang
    • 2
  • Jialin Huang
    • 2
  • Xiongrui Wang
    • 2
  • J. K. Kim
    • 3
  1. 1.College of Mathematics and PhysicsChongqing University of Post TelecommunicationsChongqingChina
  2. 2.Department of MathematicsYibin UniversityYibinChina
  3. 3.Department of MathematicsKyungnam UniversityMasanSouth Korea

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