A Discussion on the Existence of Best Proximity Points That Belong To the Zero Set
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Top 10%
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Average
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Top 10%
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
ORCID
Keywords
M-Metric Space, Proximal Alpha(P)-Admissible, Alpha(P)-Admissible Weak (F, Phi)-Proximal Contraction, G-Proximal Graphic Contraction, Phi-Best Proximity Point, <i>g</i>-proximal graphic contraction, proximal <i>α<sub>p</sub></i>-admissible, <i>α<sub>p</sub></i>-admissible weak (<i>f</i>,<i>φ</i>)-proximal contraction, ϕ)-proximal contraction, <i>φ</i>-best proximity point, M-metric space, Ap-admissible weak (F, <i>m</i>-metric space, ϕ-best proximity point, Proximal αp-admissible, QA1-939, G−proximal graphic contraction, <i>m</i>-metric space; proximal <i>α<sub>p</sub></i>-admissible; <i>α<sub>p</sub></i>-admissible weak (<i>F</i>,<i>φ</i>)-proximal contraction; <i>G</i>-proximal graphic contraction; <i>φ</i>-best proximity point, Mathematics
Fields of Science
01 natural sciences, 0101 mathematics
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).
WoS Q
Q2
Scopus Q
OpenCitations Citation Count
7
Source
Axioms
Volume
9
Issue
1
Start Page
19
End Page
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CrossRef : 7
Scopus : 10
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