The purpose of this article is to initiate a new class of cyclic contraction mappings and
establish a related fixed point theorem in the framework of a Banach space. To approximate …

The present endeavor investigates an area concerning interpolative operators to approach
attractors, particularly fractals; ergo, an interpolative iterated operator system (I δ-IOS) is …

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 …

The fixed point theory is one of the most essential techniques of applicable mathematics for
solving many realistic problems to get a unique solution by using the well known Banach …

The purpose of this work is to fill a gap in the article Priya and Uthayakumar (2022)[13]. To
prove fractals (fixed points), the authors of that article tried to connect two independent …

In this paper we establish a strong coupled fixed point theorem for a generalized coupling
between two subsets of a metric space. These are cyclic generalizations of coupled …

After several generalizations of the Kannan map, the titular claim of yet another is one apart
with the ability to replace the source map. It is due to the incorporation of constant δ∈[1,∞) …

The aim of this paper is to introduce and develop two novel classifications of enriched (q, θ)-
contractions on Banach spaces. The paper includes illustrative examples to demonstrate …

This paper introduces a novel technique to approximate a given continuous function f
defined on a real compact interval by a new class of zipper α-fractal functions which contain …