A Discussion On the Existence of Best Proximity Points That Belong to the Zero Set
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Date
2020
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Mdpi
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Abstract
In this paper, we investigate the existence of best proximity points that belong to the zero set for the alpha p -admissible weak (F,phi) -proximal contraction in the setting of M-metric spaces. For this purpose, we establish phi -best proximity point results for such mappings in the setting of a complete M-metric space. Some examples are also presented to support the concepts and results proved herein. Our results extend, improve and generalize several comparable results on the topic in the related literature.
Description
Abbas, Mujahid/0000-0001-5528-1207
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Keywords
M-Metric Space, Proximal Alpha(P)-Admissible, Alpha(P)-Admissible Weak (F, Phi)-Proximal Contraction, G-Proximal Graphic Contraction, Phi-Best Proximity Point
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Citation
Karapınar, Erdal; Abbas, Mujahid; Farooq, Sadia, "A Discussion On the Existence of Best Proximity Points That Belong to the Zero Set", Axioms, Vol. 9, No. 1, (2020).
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Q2
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N/A
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Volume
9
Issue
1