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2012 Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings
M. De la Sen
J. Appl. Math. 2012(SI03): 1-29 (2012). DOI: 10.1155/2012/817193

Abstract

p ( 2 ) -cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the p -cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity points and fixed points is also investigated as well as some related properties of composed self-mappings from the union of any two adjacent subsets, belonging to the initial set of subsets, to themselves.

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M. De la Sen. "Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings." J. Appl. Math. 2012 (SI03) 1 - 29, 2012. https://doi.org/10.1155/2012/817193

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 06063494
MathSciNet: MR2904542
Digital Object Identifier: 10.1155/2012/817193

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI03 • 2012
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