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

Jamshaid Ahmad; Ahmed Al-Rawashdeh; Akbar Azam

doi:10.1186/s13663-015-0333-2

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

Jamshaid Ahmad
, Ahmed Al-Rawashdeh
, Akbar Azam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

81 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 language	English
Article number	80
Journal	Fixed Point Theory and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0333-2
Publication status	Published - 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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10.1186/s13663-015-0333-2

Cite this

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AB - 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.

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KW - fixed point

KW - metric space

KW - multivalued mappings

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

Abstract

Keywords

ASJC Scopus subject areas

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