A Best Proximity Point Result in Modular Spaces with the Fatou Property
Joint Authors
Jleli, Mohamed Boussairi
Karapinar, Erdal
Samet, Bessem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-28
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Consider a nonself-mapping T:A→B, where (A,B) is a pair of nonempty subsets of a modular space Xρ.
A best proximity point of T is a point z∈A satisfying the condition: ρ(z−Tz)=inf{ρ(x−y):(x,y)∈A×B}.
In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property.
For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.
American Psychological Association (APA)
Jleli, Mohamed Boussairi& Karapinar, Erdal& Samet, Bessem. 2013. A Best Proximity Point Result in Modular Spaces with the Fatou Property. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-464025
Modern Language Association (MLA)
Jleli, Mohamed Boussairi…[et al.]. A Best Proximity Point Result in Modular Spaces with the Fatou Property. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-464025
American Medical Association (AMA)
Jleli, Mohamed Boussairi& Karapinar, Erdal& Samet, Bessem. A Best Proximity Point Result in Modular Spaces with the Fatou Property. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-464025
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464025
