Fixed point theorems for rational type $F$-contraction

Ö. Acar

doi:10.15330/cmp.13.1.39-47

Fixed point theorems for rational type $F$ -contraction

Authors

Ö. Acar Selcuk University, Konya, Turkey https://orcid.org/0000-0001-6052-4357

https://doi.org/10.15330/cmp.13.1.39-47

Keywords:

fixed point, multivalued mapping,

F

$F$ -contraction of rational type, complete metric space

Published online: 2021-03-27

Abstract

In this paper, we consider rational type $F$ -contraction for multivalued integral type mapping on a complete metric space. Using Wardowski’s technique, we establish the existence of a fixed point of the multivalued integral type mapping, if this mapping or the $F$ -contraction is continuous. In the end, we give an example which shows that our result is the best.