On Proximal contractions via implicit relations and Best proximity points

نویسندگان

چکیده

In this paper, we employ two types of implicit relations to define some new kind proximal contractions and study about their best proximity points. More precisely, use class functions $\mathcal{A}$ $\mathcal{A}'$ explore $\mathcal{A}$, $\mathcal{A}'$-contractions first second type strong $\mathcal{A}'$-contractions. We investigate the existence point results same. It is worth mentioning that well-known Sadiq Basha [J. Approx. Theory, $2011$] on are special cases our obtained results. authenticate by suitable examples.

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ژورنال

عنوان ژورنال: Miskolc Mathematical Notes

سال: 2021

ISSN: ['1586-8850', '1787-2405', '1787-2413']

DOI: https://doi.org/10.18514/mmn.2021.3423