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Common best proximity points for a pair of mappings with certain dominating property

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Abstract This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points. A certain kind of… Click to show full abstract

Abstract This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points. A certain kind of boundary value problem involving the so-called Caputo derivative can be formulated so that our result applies.

Keywords: common best; dominating property; best proximity; proximity points

Journal Title: Demonstratio Mathematica
Year Published: 2023

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