In this paper, we introduce generalized Wardowski type quasi-contractions called $\alpha$ - $(\phi ,\mathsf{\Omega })$ -contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An illustrative example and an application are given to show the usability of our results.

The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results.

In this paper, an extension of Darbo’s fixed point theorem via $\theta$ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.

In this paper, we introduce generalized α - η -fuzzy contractive mappings and generalized β - ζ -fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results.

In this study, we examine the existence of solution for some ?-Caputo fractional differential inclusions with arbitrary coefficients with boundary values using Wardowski-Mizoguchi-Takahashi multivalued contractions. Our results utilize some existence results regarding ?-Caputo fractional differential inclusions, in particular the results of Belmor et al. (2021). Our key findings are illustrated with an example.

The aim of this work is to extend the Mizoguchi-Takahashi fixed point result motivated by the approach of Wardowski (2012) and provide some related fixed point results in (ordered) metric spaces. An example is given to support the main results. Moreover, we provide an application on nonlinear differential equations.