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A Discussion On The Existence Of Best Proximity Points That Belong To The Zero Set

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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.

Level
Postgraduate
Subject
Mathematics and Applied Mathematics
Type
Article
Institution
University of Pretoria
Language
English
Year
2020
Pages
15 pages
File size
291.42 KB
Format
PDF
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