This paper is a pre-step in conducting a restudy for an emerging theory in applied sciences,
namely Fractal interpolation. It is one of the best-fit models for capturing irregular data that …

In this paper, we introduce the concept of a G-Hausdorff space and show how the results
established in the usual metric space can be generalized to the G-metric space. The proven …

In this paper we present some important generalizations of the Banach contraction principle
in which the Lipschitz constant k is replaced by some real-valued control function. For the …

In this paper, we first establish some user‐friendly versions of fixed‐point theorems for the
sum of two operators in the setting that the involved operators are not necessarily compact …

In this paper, we prove the existence of the attractors for Reich's iterated function systems by
virtue of a Banach-like fixed point theorem. As a result, under the condition that the Reich …

We introduce a new type of nonlinear contraction and present some fixed point results
without using continuity or semi-continuity. Our result complement, extend and generalize a …