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Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
Joint Authors
Karapinar, Erdal
de La Sen, Manuel
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates properties of convergence of distances of p-cyclic contractions on the union of the p subsets of an abstract set X defining probabilistic metric spaces and Menger probabilistic metric spaces as well as the characterization of Cauchy sequences which converge to the best proximity points.
The existence and uniqueness of fixed points and best proximity points of p-cyclic contractions defined in induced complete Menger spaces are also discussed in the case when the associate complete metric space is a uniformly convex Banach space.
On the other hand, the existence and the uniqueness of fixed points of the p-composite mappings restricted to each of the p subsets in the cyclic disposal are also investigated and some illustrative examples are given.
American Psychological Association (APA)
de La Sen, Manuel& Karapinar, Erdal. 2015. Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068277
Modern Language Association (MLA)
de La Sen, Manuel& Karapinar, Erdal. Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1068277
American Medical Association (AMA)
de La Sen, Manuel& Karapinar, Erdal. Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068277