Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space
Joint Authors
Pragadeeswarar, V.
Karapinar, Erdal
Marudai, M.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We introduce a new class of nonself-mappings, generalized proximal weak contraction mappings, and prove the existence and uniqueness of best proximity point for such mappings in the context of complete metric spaces.
Moreover, we state an algorithm to determine such an optimal approximate solution designed as a best proximity point.
We establish also an example to illustrate our main results.
Our result provides an extension of the related results in the literature.
American Psychological Association (APA)
Karapinar, Erdal& Pragadeeswarar, V.& Marudai, M.. 2014. Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-449835
Modern Language Association (MLA)
Karapinar, Erdal…[et al.]. Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-449835
American Medical Association (AMA)
Karapinar, Erdal& Pragadeeswarar, V.& Marudai, M.. Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-449835
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449835