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Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
de La Sen, Manuel. 2013. Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-512209
Modern Language Association (MLA)
de La Sen, Manuel. Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-512209
American Medical Association (AMA)
de La Sen, Manuel. Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-512209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512209