On Best Proximity Point Theorems without Ordering
Joint Authors
Ungchittrakool, Kasamsuk
Farajzadeh, A. P.
Plubtieng, Somyot
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Recently, Basha (2013) addressed a problem that amalgamates approximation and optimization in the setting of a partially ordered set that is endowed with a metric.
He assumed that if A and B are nonvoid subsets of a partially ordered set that is equipped with a metric and S is a non-self-mapping from A to B , then the mapping S has an optimal approximate solution, called a best proximity point of the mapping S , to the operator equation S x = x , when S is a continuous, proximally monotone, ordered proximal contraction.
In this note, we are going to obtain his results by omitting ordering, proximal monotonicity, and ordered proximal contraction on S .
American Psychological Association (APA)
Farajzadeh, A. P.& Plubtieng, Somyot& Ungchittrakool, Kasamsuk. 2014. On Best Proximity Point Theorems without Ordering. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1013308
Modern Language Association (MLA)
Farajzadeh, A. P.…[et al.]. On Best Proximity Point Theorems without Ordering. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1013308
American Medical Association (AMA)
Farajzadeh, A. P.& Plubtieng, Somyot& Ungchittrakool, Kasamsuk. On Best Proximity Point Theorems without Ordering. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1013308
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013308
