In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...

In this paper, the notion of Suzuki type generalized $\mathcal{L}$-contractions is introduced and a new fixed point theorem for such contractions established.

The main result of this paper is a fixed-point theorem which extends numerous fixed point theorems for contractions on metric spaces and recently developed Suzuki type contractions. Applications to certain functional equations and variational inequalities are also discussed.

In this paper, we obtain a unique common fixed point results by using Suzuki - $(\mathcal{Z}_{\psi}(\alpha,\beta))$ type rational contractive mappings in metric spaces. Also give an example which supports our main theorem.