The Existence of Best Proximity Points of Generalized $p$-Cyclic Weak $(F,\psi,\varphi)$ Contractions in $p$-Cyclic Metric Spaces

Authors

  • Sajjarak Ladsungnern
  • Jamnian Nantadilok
  • Pitchaya Kingkam

Keywords:

p-cyclic contraction map, strict contractions, best proximity points, p-cyclic metric space

Abstract

In this manuscript, we discuss some property of $p$-cyclic maps which belong to the class $\Omega$  and we extend the notion of a generalized cyclic weak $(F,\psi ,\varphi )$-contractin to a generalized $p$-cyclic weak $(F,\psi ,\varphi )$-contraction, where $p \ge 2$. We prove best proximity point results of such map in $p$-cyclic complete metric spaces. Our results extend and generalize the related result in the literature. We also give an example in support of our main result.

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Published

2023-07-27

How to Cite

Ladsungnern, S., Nantadilok, J., & Kingkam, P. (2023). The Existence of Best Proximity Points of Generalized $p$-Cyclic Weak $(F,\psi,\varphi)$ Contractions in $p$-Cyclic Metric Spaces. Thai Journal of Mathematics, 21(2), 237–251. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1455

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Articles