Best proximity point results in non-Archimedean fuzzy metric spaces

Calogero Vetro () and Peyman Salimi
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Calogero Vetro: Università degli Studi di Palermo
Peyman Salimi: Islamic Azad University

Fuzzy Information and Engineering, 2013, vol. 5, issue 4, 417-429

Abstract: Abstract We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using different contractive conditions, then we present some examples to support our best proximity point theorems.

Keywords: Best approximation; Best proximity point; Non-Archimedean fuzzy metric space (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s12543-013-0155-z

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