Optimal problems of the best proximity pair by proximal normal structure

Authors

  • Mohammad Reza Haddadi

Keywords:

Best proximity‎ ‎pair‎‎, best proximity‎ ‎point, coincicence point

Abstract

‎Let $(A_1,A_2,A_3)$ be a triple of nonempty convex subsets of a metric space $‎\Omega‎$‎.

‎In this paper‎, ‎we determine optimal problems of the best proximity pair by proximal normal structure‎

‎between two sets $A_1$ and $A_2$ with the help of a third set $A_3$ and we find some necessary and sufficient conditions for existence this optimal problems‎.

‎Also‎, ‎we provide an example to illustrate the‎

‎convergence behavior of our proposed results‎.

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Published

2024-01-15

Issue

Vol. 17

Section

Vol. 17, No. 10, (2023)

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