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

Charoensawan Phakdi, Dangskul Supreedee, Varnakovida Pariwate

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220215

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.