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Nonexpansive mappings defined on unbounded domains

Fixed Point Theory and Applications volume 2006, Article number: 82080 (2006) Cite this article

Abstract

We obtain fixed point theorems for nonexpansive mappings defined on unbounded sets. Our assumptions are weaker than the asymptotically contractive condition recently introduced by Jean-Paul Penot.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand

    A Kaewcharoen

  2. Department of Mathematics, The University of Iowa, Iowa City, IA, 52242-1419, USA

    WA Kirk

Authors
  1. A Kaewcharoen
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  2. WA Kirk
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Correspondence to A Kaewcharoen.

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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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Kaewcharoen, A., Kirk, W. Nonexpansive mappings defined on unbounded domains. Fixed Point Theory Appl 2006, 82080 (2006). https://doi.org/10.1155/FPTA/2006/82080

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