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Best Proximity Point Theorems for ψ-­ϕ-­contractions in Metric Spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.3, pp.337-354
https://doi.org/10.7468/jksmeb.2024.31.3.337
Shilpa Rahurikar (Shri Vaishnav Vidyapeeth Vishwavidyalaya)
Varsha Pathak (Shri Vaishnav Vidyapeeth Vishwavidyalaya)
Satish Shukla (Shri Vaishnav Vidyapeeth Vishwavidyalaya)
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Abstract

In this paper, some best proximity points results for ψ-φ-contractions on complete metric spaces are proved. These results extend and generalize some best proximity and fixed point results on complete metric spaces. An example and some corollaries are provided that demonstrate the results proved herein.

keywords
best proximity point, ψ-φ-contractions, cyclic contraction.
Submission Date
2024-04-27
Revised Date
2024-05-22
Accepted Date
2024-05-25

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics