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Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings

Abstract

A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.

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Correspondence to Yan Hao.

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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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Hao, Y., Cho, S. & Qin, X. Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings. Fixed Point Theory Appl 2010, 218573 (2009). https://doi.org/10.1155/2010/218573

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Keywords

  • Banach Space
  • Differential Geometry
  • Convergence Theorem
  • Weak Convergence
  • Computational Biology