Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper presents some results concerning the properties of distances and existence and uniqueness of best proximity points of p-cyclic proximal, weak proximal contractions, and some of their generalizations for the non-self-mapping T : ⋃ i ∈ p - A i → ⋃ i ∈ p - B i ( p ≥ 2 ) , where A i and B i , ∀ i ∈ p - = { 1,2 , … , p } , are nonempty subsets of X which satisfy T A i ⊆ B i , ∀ i ∈ p - , such that ( X , d ) is a metric space.
The boundedness and the convergence of the sequences of distances in the domains and in their respective image sets of the cyclic proximal and weak cyclic proximal non-self-mapping, and of some of their generalizations are investigated.
The existence and uniqueness of the best proximity points and the properties of convergence of the iterates to such points are also addressed.
American Psychological Association (APA)
de La Sen, Manuel& Ibeas, Asier. 2014. Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015048
Modern Language Association (MLA)
de La Sen, Manuel& Ibeas, Asier. Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1015048
American Medical Association (AMA)
de La Sen, Manuel& Ibeas, Asier. Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015048