Some Results on Fixed and Best Proximity Points of Multivalued
Data(s) |
21/05/2013
21/05/2013
2013
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Resumo |
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. |
Identificador |
Abstract and Applied Analysis 2013 : (2013) // Article ID 968492 1085-3375 http://hdl.handle.net/10810/10142 10.1155/2013/968492 |
Idioma(s) |
eng |
Publicador |
Hindawi Publishing Corporation |
Relação |
http://www.hindawi.com/journals/aaa/2013/968492/ |
Direitos |
© 2013 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 |
Tipo |
info:eu-repo/semantics/article |