A new approach to the Assad-Kirk fixed point theorem

ALTUN İ., OLGUN M., Minak G.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, vol.18, no.1, pp.201-212, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1007/s11784-015-0270-z
  • Journal Name: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.201-212
  • Keywords: Fixed point, multivalued maps, F-contraction, metrically convex metric space, COMPLETE METRIC-SPACES, MULTIVALUED MAPPINGS, CONTRACTION-MAPPINGS
  • Ankara University Affiliated: Yes

Abstract

In the present paper, considering the Wardowski's technique, we give a new approach to the Assad-Kirk fixed point theorem on metrically convex metric spaces. We also provide a nontrivial example showing that our result is a proper extension of the Assad-Kirk fixed point theorem.