A discussion on the existence of best proximity points that belong to the zero set
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Date
Authors
Karapınar, Erdal
Abbas, Mujahid
Farooq, Sadia
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Abstract
In this paper, we investigate the existence of best proximity points that belong to the zero
set for the αp-admissible weak (F, ϕ)-proximal contraction in the setting of M-metric spaces. For this
purpose, we establish ϕ-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
Keywords
M-metric space, Proximal αp-admissible, Ap-admissible weak (F, ϕ)-proximal contraction, G−proximal graphic contraction, ϕ-best proximity point
Sustainable Development Goals
Citation
Karapınar, E.; Abbas, M.; Farooq, S. A Discussion on the Existence of Best Proximity Points That Belong to the Zero Set. Axioms 2020, 9, 19. https://doi.org/10.3390/axioms9010019.