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Best proximity points involving simulation functions with \(w_0\)-distance

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we introduce a new generalized distance, namely the \(w_0\)-distance, which is a special type of w-distance. By using the concept of \(w_0\)-distance, we generalize some recent best proximity point results involving simulation functions. As a consequence, several best proximity point theorems are obtained. We support our results with examples.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, Niš, 18000, Serbia

    Aleksandar Kostić & Vladimir Rakočević

  2. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd 35, 11120, Serbia

    Stojan Radenović

Authors
  1. Aleksandar Kostić
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  2. Vladimir Rakočević
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  3. Stojan Radenović
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Correspondence to Stojan Radenović.

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Kostić, A., Rakočević, V. & Radenović, S. Best proximity points involving simulation functions with \(w_0\)-distance. RACSAM 113, 715–727 (2019). https://doi.org/10.1007/s13398-018-0512-1

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  • DOI: https://doi.org/10.1007/s13398-018-0512-1

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