Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings

M. De la Sen

Journal of Applied Mathematics, 2012, vol. 2012, 1-29

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:817193

DOI: 10.1155/2012/817193

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