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Best proximity points for proximal generalized contractions in metric spaces

Abstract

In this paper, we give best proximity point theorem for non-self proximal generalized contractions. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designed as a best proximity point. An example is also given to support our main results.

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Correspondence to A. Amini-Harandi.

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Amini-Harandi, A. Best proximity points for proximal generalized contractions in metric spaces. Optim Lett 7, 913–921 (2013). https://doi.org/10.1007/s11590-012-0470-z

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  • DOI: https://doi.org/10.1007/s11590-012-0470-z

Keywords

  • Best proximity point
  • Optimal approximate solution
  • Proximal generalized contraction

Mathematics Subject Classification

  • 47H10