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A note on best proximity point theory using proximal contractions

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Abstract

In this paper, a reduction technique is used to show that some recent results on the existence of best proximity points for various classes of proximal contractions can be concluded from the corresponding results in fixed point theory.

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Acknowledgements

The first author was partially supported by a grant from IPM (no. 96470046).

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Authors and Affiliations

  1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

    Moosa Gabeleh

  2. Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

    Moosa Gabeleh

  3. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy

    Calogero Vetro

Authors
  1. Moosa Gabeleh
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  2. Calogero Vetro
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Correspondence to Moosa Gabeleh.

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Gabeleh, M., Vetro, C. A note on best proximity point theory using proximal contractions. J. Fixed Point Theory Appl. 20, 149 (2018). https://doi.org/10.1007/s11784-018-0624-4

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  • DOI: https://doi.org/10.1007/s11784-018-0624-4

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