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Diametrically Contractive Multivalued Mappings

Fixed Point Theory and Applications volume 2007, Article number: 019745 (2007) Cite this article

Abstract

Diametrically contractive mappings on a complete metric space are introduced by V. I. Istratescu. We extend and generalize this idea to multivalued mappings. An easy example shows that our fixed point theorem is more applicable than a former one obtained by H. K. Xu. A convergence theorem of Picard iteratives is also provided for multivalued mappings on hyperconvex spaces, thereby extending a Proinov's result.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    S Dhompongsa & H Yingtaweesittikul

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  1. S Dhompongsa
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  2. H Yingtaweesittikul
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Correspondence to S Dhompongsa.

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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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Dhompongsa, S., Yingtaweesittikul, H. Diametrically Contractive Multivalued Mappings. Fixed Point Theory Appl 2007, 019745 (2007). https://doi.org/10.1155/2007/19745

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