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Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications volume 2008, Article number: 751383 (2007) Cite this article

Abstract

The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping and a finite family of nonexpansive mappings , respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding ones of H.-K. Xu and R. Ori, 2001, Z. Opial, 1967, and others.

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Authors and Affiliations

  1. College of Science, Civil Aviation University of China, Tianjin, 300300, China

    Jing Zhao & Songnian He

  2. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Yongfu Su

Authors
  1. Jing Zhao
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  2. Songnian He
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  3. Yongfu Su
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Correspondence to Jing Zhao.

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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.

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Zhao, J., He, S. & Su, Y. Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces. Fixed Point Theory Appl 2008, 751383 (2007). https://doi.org/10.1155/2008/751383

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  • DOI: https://doi.org/10.1155/2008/751383

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