Review

On best proximity points of interpolative proximal contractions

Published in: Quaestiones Mathematicae
Volume 44 , issue 9 , 2021 , pages: 1233–1241

DOI: 10.2989/16073606.2020.1785576

Author(s): Ishak Altun , Vietnam , Ayşenur Taşdemir , Turkey

Keywords: Primary: 54H25 , Secondary: 47H10 , Primary: 54H25 , Secondary: 47H10

Abstract

In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.

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