Common Attractors of Generalized Hutchinson–Wardowski Contractive Operators
Bilal Iqbal, Naeem Saleem, Iram Iqbal, Maggie Aphane · Fractal and Fractional · 2024
The aim of this paper is to obtain a fractal set of ℑ-iterated function systems comprising generalized ℑ-contractions. For a variety of Hutchinson–Wardowski contractive operators, we prove that this kind of system admits a unique common attractor. Consequently, diverse outcomes are obtained for generalized iterated function systems satisfying various generalized contractive conditions. An illustrative example is also provided. Finally, the existence results of common solutions to fractional boundary value problems are obtained.