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Fixed Point Theory and Applications

, 2006:70830 | Cite as

Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences

  • Jing Quan
  • Shih-Sen Chang
  • Xian Jun Long
Open Access
Research Article

Abstract

The purpose of this paper is to study sufficient and necessary conditions for finite-step iterative sequences with mean errors for a finite family of asymptotically quasi-nonexpansive and type mappings in Banach spaces to converge to a common fixed point. The results presented in this paper improve and extend the recent ones announced by Ghost-Debnath, Liu, Xu and Noor, Chang, Shahzad et al., Shahzad and Udomene, Chidume et al., and all the others.

Keywords

Banach Space Differential Geometry Computational Biology Type Mapping Common Fixed Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Jing Quan et al. 2006

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

  1. 1.Department of MathematicsChongqing Normal UniversityChongqingChina
  2. 2.Department of MathematicsYibin UniversityYibinChina

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