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Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces

Fixed Point Theory and Applications volume 2007, Article number: 064306 (2008) Cite this article

Abstract

We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.

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Authors and Affiliations

  1. Department of Mathematics, University of Nigeria, Nsukka, Nigeria

    MO Osilike, FO Isiogugu & PU Nwokoro

Authors
  1. MO Osilike
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  2. FO Isiogugu
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  3. PU Nwokoro
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Correspondence to MO Osilike.

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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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Osilike, M., Isiogugu, F. & Nwokoro, P. Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces. Fixed Point Theory Appl 2007, 064306 (2008). https://doi.org/10.1155/2007/64306

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  • DOI: https://doi.org/10.1155/2007/64306

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