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

Abstract

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.