Best Proximity Point Results for Modified α-ψ-Proximal Rational Contractions
Joint Authors
Hussain, Nawab
Kutbi, Marwan Amin
Salimi, P.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We first introduce certain new concepts of α-η-proximal admissible and α-η-ψ-rational proximal contractions of the first and second kinds.
Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces.
As an application, we deduce best proximity and fixed point results in partially ordered metric spaces.
The presented results generalize and improve various known results from best proximity point theory.
Several interesting consequences of our obtained results are presented in the form of new fixed point theorems which contain famous Banach's contraction principle and some of its generalizations as special cases.
Moreover, some examples are given to illustrate the usability of the obtained results.
American Psychological Association (APA)
Hussain, Nawab& Kutbi, Marwan Amin& Salimi, P.. 2013. Best Proximity Point Results for Modified α-ψ-Proximal Rational Contractions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1003194
Modern Language Association (MLA)
Hussain, Nawab…[et al.]. Best Proximity Point Results for Modified α-ψ-Proximal Rational Contractions. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1003194
American Medical Association (AMA)
Hussain, Nawab& Kutbi, Marwan Amin& Salimi, P.. Best Proximity Point Results for Modified α-ψ-Proximal Rational Contractions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1003194
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1003194