Characterization of caristi type mapping through its absolute derivative

Muslikh M., Kilicman A., Sapar S., Bachok N.

Australian Journal of Mathematical Analysis and Applications, vol.16, no.1, pp.1-10, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2019
  • Journal Name: Australian Journal of Mathematical Analysis and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-10
  • Keywords: Differentiation, Fixed point theorem, Mean Value Theorem, Metric spaces
  • Istanbul Gelisim University Affiliated: No

Abstract

© 2019 Austral Internet Publishing.The purpose of this article to characterize the Caristi type mapping by the absolute derivative. The equivalences of the Caristi mapping with contraction mapping is discussed too. In addition, it was shown that the contraction mapping can be tested through its absolute derivative.