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Best proximity point results in non-Archimedean fuzzy metric spaces

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Fuzzy Information and Engineering

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.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123, Palermo, Italy

    Calogero Vetro

  2. Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran

    Peyman Salimi

Authors
  1. Calogero Vetro
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  2. Peyman Salimi
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Correspondence to Calogero Vetro.

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Vetro, C., Salimi, P. Best proximity point results in non-Archimedean fuzzy metric spaces. Fuzzy Inf. Eng. 5, 417–429 (2013). https://doi.org/10.1007/s12543-013-0155-z

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  • DOI: https://doi.org/10.1007/s12543-013-0155-z

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