Karapınar, ErdalAbbas, MujahidFarooq, Sadia2021-06-182021-06-182020-02Karapınar, 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/axioms9010019.2075-1680 (online)10.3390/axioms9010019http://hdl.handle.net/2263/80371In 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.en© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.M-metric spaceProximal αp-admissibleAp-admissible weak (F, ϕ)-proximal contractionG−proximal graphic contractionϕ-best proximity pointArticle