Existence of Best Proximity Points for Controlled Proximal Contraction
Loading...
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. Our results improve and generalize some existing results on the topic in the literature, in particular, the results of Lim and of Abkar and Gabeleh.
Description
Kiran, Quanita/0000-0002-3442-3488; KARAPINAR, ERDAL/0000-0002-6798-3254; Ali, Muhammad/0000-0002-1444-7888; Kamran, Tayyab/0000-0001-7833-2476
Keywords
[No Keyword Available], Applied Mathematics, Geometry and Topology, Fixed-point and coincidence theorems (topological aspects), stability, Special maps on metric spaces, non-self-multivalued mappings, best proximity points, Set-valued maps in general topology
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
3
Source
Fixed Point Theory and Applications
Volume
2015
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 3
Scopus : 5
Captures
Mendeley Readers : 3
SCOPUS™ Citations
6
checked on Feb 24, 2026
Web of Science™ Citations
6
checked on Feb 24, 2026
Page Views
1
checked on Feb 24, 2026
Google Scholar™
