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Best Proximity Points For Psi-Proximal Multi-Functions

Hadi Shojaat,Hojjat Afshari,Mohammad Sadegh Asgari

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS（2021）

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Abstract
Best proximity point theorems for self-mappings and multi-functions were investigated with different conditions on spaces and the contractions of mappings. In this paper, we will prove best proximity point theorems for some generalized multi-functions that we call psi-proximal multi-functions, which are of two types, psi-proximal multi-functions of the first and second kind.
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Key words
psi-proximal multifunction, approximatively compact, psi-proximal contraction
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