New fixed point theorems for generalized F-contractions in complete metric spaces

Jamshaid Ahmad, Ahmed Al-Rawashdeh, Akbar Azam

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

In this paper, owing to the concept of F-contraction, we define two new classes of functions M(S,T)$M(S,T)$ and N(S,T)$N(S,T)$, and we prove some new fixed point results for single-valued and multivalued mappings in complete metric spaces. Our results extend, generalize and unify several known results in the literature. We include an example to show that the generalization is proper.

Original languageEnglish
Article number80
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
Publication statusPublished - Dec 9 2015

Keywords

  • F-contractions
  • fixed point
  • metric space
  • multivalued mappings

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

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