Proximally Compatible Mappings and Common Best Proximity Points

The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of con...

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Bibliographic Details
Published in:Symmetry (Basel) 2020-03, Vol.12 (3), p.353
Main Authors: Pragadeeswarar, V., Gopi, R., De la Sen, M., Radenović, Stojan
Format: Article
Language:English
Subjects:
(ϵ,δ)-contractions
common best proximity point
common fixed point
commuting mappings
compatible mappings
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Summary:The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences. In addition, we provide an example to support our main result.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12030353