• Corpus ID: 235732219

A note on best proximity point for proximal contraction

  title={A note on best proximity point for proximal contraction},
  author={Sumit Som},
  • S. Som
  • Published 3 July 2021
  • Mathematics
In the year 2011, S.Basha [1] introduced the notion of proximal contraction in a metric space X and study the existence and uniqueness of best proximity point for this class of mappings. Also, the author gave an algorithm to achieve this best proximity point. In this paper, we show that the best proximity point theorem can be proved by Banach contraction principle. 


Best Proximity Points: Optimal Solutions
  • S. Basha
  • Mathematics, Computer Science
    J. Optim. Theory Appl.
  • 2011
This article elicits a best proximity point theorem for non-self-proximal contractions. As a consequence, it ascertains the existence of an optimal approximate solution to some equations for which it
Best proximity points for proximal contractions
In this paper we improve and extend some best proximity point results concerning the so-called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to