Existence of Best Proximity Points for Controlled Proximal Contraction
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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
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3
Volume
2015
Issue
1
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CrossRef : 3
Scopus : 6
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