Fixed point theorem on partial metric spaces involving rational expressions

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Karapinar E., Shatanawi W., TAŞ K.

Miskolc Mathematical Notes, vol.14, no.1, pp.135-142, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.18514/mmn.2013.471
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.135-142
  • Keywords: Fixed point theory, Partial metric space, Rational contractions
  • Uşak University Affiliated: No

Abstract

We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.