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Common best proximity pairs in strictly convex Banach spaces.
- Source :
- Georgian Mathematical Journal; Sep2017, Vol. 24 Issue 3, p363-372, 10p
- Publication Year :
- 2017
-
Abstract
- A mapping such that and is called a noncyclic mapping, where A and B are two nonempty subsets of a Banach space X. A best proximity pair for such a mapping T is a point such that and . In the current paper, we establish some existence results of best proximity pairs in strictly convex Banach spaces. The presented theorems improve and extend some recent results in the literature. We also obtain a generalized version of Markov-Kakutani's theorem for best proximity pairs in a strictly convex Banach space setting. [ABSTRACT FROM AUTHOR]
- Subjects :
- PROXIMITY fuzes
PROXIMITY matrices
CONVEX domains
CONVEX functions
BANACH spaces
Subjects
Details
- Language :
- English
- ISSN :
- 1072947X
- Volume :
- 24
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Georgian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 124966790
- Full Text :
- https://doi.org/10.1515/gmj-2016-0021