Generalized enriched cyclic contractions with application to generalized iterated function system

Mujahid Abbas, Rizwan Anjum and Hira Iqbal

Chaos, Solitons & Fractals, 2022, vol. 154, issue C

Abstract: 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 fixed point, a convergence theorem employing the Krasnoselskij iteration is presented for which a priori and a posterior error estimates are also determined. These results modify and extend several comparable results in the existing literature. As an application, we investigate the iterated function system (IFS) comprised of generalized cyclic contraction mappings. Some examples are also presented to validate the results.

Keywords: Fixed point; Cyclic contraction; Fractal; Iterated function system (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009450

DOI: 10.1016/j.chaos.2021.111591

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