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Best Proximity Point Theorem in Quasi-Pseudometric Spaces
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances.
We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized pseudodistances.
Next, inspired by Abkar and Gabeleh we proved new best proximity point theorem in a quasi-pseudometric space.
A best proximity point theorem furnishes sufficient conditions that ascertain the existence of an optimal solution to the problem of globally minimizing the error inf{d(x,y):y∈T(x)}, and hence the existence of a consummate approximate solution to the equation T(X)=x.
American Psychological Association (APA)
Plebaniak, R.. 2016. Best Proximity Point Theorem in Quasi-Pseudometric Spaces. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1094783
Modern Language Association (MLA)
Plebaniak, R.. Best Proximity Point Theorem in Quasi-Pseudometric Spaces. Abstract and Applied Analysis No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1094783
American Medical Association (AMA)
Plebaniak, R.. Best Proximity Point Theorem in Quasi-Pseudometric Spaces. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1094783
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094783