On Existence and Uniqueness of g -Best Proximity Points under φ , θ , α , g -Contractivity Conditions and Consequences
Joint Authors
Kumam, Poom
Roldán-López-de-Hierro, Antonio-Francisco
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We collect, improve, and generalize very recent results due to Mongkolkeha et al.
(2014) in three directions: firstly, we study g-best proximity points; secondly, we employ more general test functions than can be found in that paper, which lets us prove best proximity results using different kinds of control functions; thirdly, we introduce and handle a weak version of the P-property.
Our results can also be applied to the study of coincidence points between two mappings as a particular case.
As a consequence, the contractive condition we introduce is more general than was used in the mentioned paper.
American Psychological Association (APA)
Kumam, Poom& Roldán-López-de-Hierro, Antonio-Francisco. 2014. On Existence and Uniqueness of g -Best Proximity Points under φ , θ , α , g -Contractivity Conditions and Consequences. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013507
Modern Language Association (MLA)
Kumam, Poom& Roldán-López-de-Hierro, Antonio-Francisco. On Existence and Uniqueness of g -Best Proximity Points under φ , θ , α , g -Contractivity Conditions and Consequences. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013507
American Medical Association (AMA)
Kumam, Poom& Roldán-López-de-Hierro, Antonio-Francisco. On Existence and Uniqueness of g -Best Proximity Points under φ , θ , α , g -Contractivity Conditions and Consequences. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013507