BEST PROXIMITY POINTS OF GENERALIZED p-CYCLIC WEAK φ-CONTRACTIONS

Buraskorn Nuntadilok; Pitchaya Kingkam; Jamnian Nantadilok

doi:10.58715/bangmodjmcs.2022.8.1

BEST PROXIMITY POINTS OF GENERALIZED p-CYCLIC WEAK φ-CONTRACTIONS

Authors

Buraskorn Nuntadilok Department of Mathematics, Faculty of Science, Maejo University, Chiangmai, Thailand.
Pitchaya Kingkam Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang, Thailand.
Jamnian Nantadilok Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang, Thailad.

DOI:

https://doi.org/10.58715/bangmodjmcs.2022.8.1

Keywords:

strict contraction, best proximity points, generalized weak φ-contractions, p-cyclic metric space, p-cyclic contractions

Abstract

In this manuscript, we extend the notion of generalized cyclic weak φ-contractions to p sets, p ≥ 2. We investigate the convergence of best proximity points of such maps in p-cyclic complete metric spaces. We also give an example to support our main results. Our works generalize and improve the related results in the literature.

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Published

2022-10-03 — Updated on 2022-10-03

How to Cite

Nuntadilok, B., Kingkam, P., & Nantadilok, J. (2022). BEST PROXIMITY POINTS OF GENERALIZED p-CYCLIC WEAK φ-CONTRACTIONS. Bangmod International Journal of Mathematical and Computational Science, 8, 1–16. https://doi.org/10.58715/bangmodjmcs.2022.8.1