Banach's contraction principle is a fundamental result in pure and applied mathematics, and
all the fields of physics. In this paper a new type of contraction, called in the text partial …

This work proposes a new three-step iteration scheme to approximate the fixed points of a
contractive like map**. Further, the stability and strong convergence of the proposed …

Since the topological properties of a b-metric space (which generalizes the concept of a
metric space) seem sometimes counterintuitive due to the fact that the “open” balls may not …

In this paper, we revisit two recently published papers on the iterative approximation of fixed
points by Kumam et al.(2019)[17] and Maniu (2020)[19] and reproduce convergence …

In recent years of the literature, fixed point iteration schemes have been studied theoretically
for many nonlinear problems, including differential and integral equations; however …

Picard iteration is on the basis of a great number of numerical methods and applications of
mathematics. However, it has been known since the 1950s that this method of fixed-point …

In this paper, we introduce a new three steps iteration process, prove that our newly
proposed iterative scheme can be used to approximate the fixed point of a contractive-like …

The computational study of fixed-point problems in distance spaces is an active and
important research area. The purpose of this paper is to construct a new iterative scheme in …

Recently, Ji et al. established certain fixed-point results using Mann's iterative scheme
tailored to G b-metric spaces. Stimulated by the notion of the F-contraction introduced by …

In this paper, we have defined hyperbolic type of some iteration methods. The new iteration
has been investigated convergence for map**s satisfying certain condition in hyperbolic …