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On the orbits of -closure points of ultimately nonexpansive mappings

Fixed Point Theory and Applications volume 2006, Article number: 96737 (2006) Cite this article

Abstract

Let be a closed subset of a Banach space and an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the -closure of is nonempty, then the closure of the orbit of any -closure point is a commutative topological group.

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Authors and Affiliations

  1. Department of Mathematics and Computing Science, Saint Mary's University, Halifax, Nova Scotia, Canada, B3H 3C3

    MoTak Kiang

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  1. MoTak Kiang
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Correspondence to MoTak Kiang.

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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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Kiang, M. On the orbits of -closure points of ultimately nonexpansive mappings. Fixed Point Theory Appl 2006, 96737 (2006). https://doi.org/10.1155/FPTA/2006/96737

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  • DOI: https://doi.org/10.1155/FPTA/2006/96737

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