Existence of common best proximity point for single and multivalued non-self mappings
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Published:2021-06-09
Issue:2
Volume:37
Page:273-285
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ISSN:1843-4401
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Container-title:Carpathian Journal of Mathematics
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language:
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Short-container-title:CJM
Author:
PRAGADEESWARAR V.1,
GOPI R.1
Affiliation:
1. DEPARTMENT OF MATHEMATICS, AMRITA SCHOOL OF ENGINEERING, AMRITA VISHWA VIDYAPEETHAM, TAMIL NADU, INDIA
Abstract
In this article, we introduce a new concept called proximal E. A property for single and multivalued mappings. We prove existence of proximally coincidence point for such class of mappings. We provide interesting example which illustrates our main results. Finally, we provide sufficient condition for existence of common best proximity point for this class of mappings.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics