Best Proximity Points of (A, S, p)-contractions in the Framework of w-distance

Authors

  • Aleksandar Kostic Faculty of Sciences and Mathematics, University of Niš, Serbia
  • Hossein Lakzian Department of Mathematics, Payame Noor University, 19395-4697 Tehran, I.R. of Iran
  • Vladimir Rakocevic Faculty of Sciences and Mathematics, University of Niˇs, Serbia

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7444

Keywords:

Fixed point, w-distance, (A,S)-contraction, best proximity point

Abstract

Shahzad et al. [RACSAM 111 (2017) 307-324] introduced the notion of $(\mathcal{A,S})$- contractions
which unifies several well known nonlinear type contractions (e.g. $\mathcal{R}$-contractions,
$\mathcal{Z}$-contractions, $\mathcal{L}$-contractions etc.) in one go.In this paper we extend the notion
of $(\mathcal{A,S})$-contractions from Shahzad et al. \cite{S} to non-self mappings in a metric space
with a $w$-distance. Then we prove some new proximity point theorems for the aforementioned type of
mappings. This paper is a continuation of our previous papers \cite{Ko2,Ko1}.

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Mathematical Analysis

License

Copyright (c) 2026 Aleksandar Kostic, Hossein Lakzian, Vladimir Rakocevic

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How to Cite

Best Proximity Points of (A, S, p)-contractions in the Framework of w-distance. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7444. https://doi.org/10.29020/nybg.ejpam.v19i1.7444