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2013 Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order
M. De la Sen
Abstr. Appl. Anal. 2013(SI60): 1-11 (2013). DOI: 10.1155/2013/968492

Abstract

This paper is devoted to investigate the fixed points and best proximity points of multivalued cyclic self-mappings on a set of subsets of complete metric spaces endowed with a partial order under a generalized contractive condition involving a Hausdorff distance. The existence and uniqueness of fixed points of both the cyclic self-mapping and its associate composite self-mappings on each of the subsets are investigated, if the subsets in the cyclic disposal are nonempty, bounded and of nonempty convex intersection. The obtained results are extended to the existence of unique best proximity points in uniformly convex Banach spaces.

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M. De la Sen. "Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order." Abstr. Appl. Anal. 2013 (SI60) 1 - 11, 2013. https://doi.org/10.1155/2013/968492

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1273.54050
MathSciNet: MR3055934
Digital Object Identifier: 10.1155/2013/968492

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI60 • 2013
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