Best proximity coincidence point theorems for generalized non-linear contraction mappings
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Author list: Komal S., Kumam P., Khammahawong K., Sitthithakerngkiet K.
Publication year: 2018
Journal: Filomat (0354-5180)
Volume number: 32
Issue number: 19
Start page: 6753
End page: 6768
Number of pages: 16
ISSN: 0354-5180
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we obtained best proximity coincidence point theorems for α-Geraghty contractions in the setting of complete metric spaces by using weak P-property. Also we presented some examples to prove the validity of our results. Our results extended and unify many existing results in the literature. Moreover, in the last section as applications of our main results, we can apply some coincidence best proximity point and coupled coincidence proximity point on metric spaces endowed with an arbitrary binary relation. © 2018, University of Nis. All rights reserved.
Keywords
Best proximity Coincidence point
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