Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings
Data(s) |
20/05/2013
20/05/2013
2012
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Resumo |
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. |
Identificador |
Journal of Applied Mathematics 2012 : (2012) // Article ID 817193 1110-757X http://hdl.handle.net/10810/10133 10.1155/2012/817193 |
Idioma(s) |
eng |
Publicador |
Hindawi Publishing Corporation |
Relação |
http://www.hindawi.com/journals/jam/2012/817193/ |
Direitos |
© 2012 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. info:eu-repo/semantics/openAccess |
Palavras-Chave | #nonexpansive mappings #scheme #spaces #convergence #theorems |
Tipo |
info:eu-repo/semantics/article |