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On best proximity points of interpolative proximal contractions

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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… Click to show full abstract

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.

Keywords: points interpolative; interpolative proximal; proximity points; proximal contractions; best proximity

Journal Title: Quaestiones Mathematicae
Year Published: 2020

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