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Edelstein's Theorem for Cyclic Contractive Mappings in Strictly Convex Banach Spaces.
- Source :
- Numerical Functional Analysis & Optimization; 2020, Vol. 41 Issue 9, p1027-1044, 18p
- Publication Year :
- 2020
-
Abstract
- In the current paper, we discuss sufficient and necessary conditions for the existence of best proximity points for cyclic f- contractive mappings in the setting of strictly convex Banach spaces. Extensions of Edelstein's theorem are considered as well as an extension of a main result in Park [Park, S. (1978). Fixed points of f-contractive maps. Rocky Mountain J. Math. 8:743–750]. Another existence result of best proximity points will be obtained for asymptotically relatively nonexpansive mappings under different conditions with respect to the recent paper of Rajesh and Veeramani [Rajesh, S., Veeramani, P. (2016). Best Proximity point theorems for asymptotically relatively nonexpansive mappings. Numer. Funct. Anal. Optim. 37:80–91]. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH spaces
CONVEX sets
NONEXPANSIVE mappings
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 41
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 144577764
- Full Text :
- https://doi.org/10.1080/01630563.2020.1737114