This chapter deals with some existence and uniqueness results for a class of coupled systems for nonlinear k-generalized -Hilfer fractional differential equations with boundary and terminal conditions. Our results are ...

In the present paper, we introduce the notion of Proinov-Cb-contraction mapping and we discuss it within the most interesting abstract structure, namely, b-metric spaces. We further take into consideration the necessary ...

In this paper, we introduce a new contraction, namely, almost Z contraction with respect to zeta is an element of Z, in the setting of complete metric spaces. We proved that such contraction possesses a fixed point and the ...

The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of ...

The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our ...

In this manuscript, p-cyclic orbital φ-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function φ is strictly increasing. ...

In this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have ...

In this article, we conceive the notion of a generalized (α, ψ, q)-Meir-Keeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space ...

In this manuscript, we define a convex admissible mapping. Using this notion, we consider specific contraction involving rational terms via convex admissible mapping. We investigate the necessary and sufficient requirement ...

The purpose of this paper is to present some fixed point results in epsilon-chainable complete b-metric spaces that are inspired from famous result of Edelstein, published in 1961.