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Keywords = Hutchinson–Wardowski contractive operators

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18 pages, 340 KB  
Article
Common Attractors of Generalized Hutchinson–Wardowski Contractive Operators
by Bilal Iqbal, Naeem Saleem, Iram Iqbal and Maggie Aphane
Fractal Fract. 2024, 8(11), 651; https://doi.org/10.3390/fractalfract8110651 - 9 Nov 2024
Cited by 1 | Viewed by 915
Abstract
The aim of this paper is to obtain a fractal set of -iterated function systems comprising generalized -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 [...] Read more.
The aim of this paper is to obtain a fractal set of -iterated function systems comprising generalized -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. Full article
(This article belongs to the Special Issue Fixed Point Theory and Fractals)
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