A Novel Fixed-Point Iterative Process for Multivalued Mappings Applied in Solving a HIV Model of Fractional Order

A Novel Fixed-Point Iterative Process for Multivalued Mappings Applied in Solving a HIV Model of Fractional Order

We introduce a new and a faster iterative method for the approximation of the fixed point of multivalued nonexpansive mappings in the setting of uniformly convex Banach spaces. We prove some stability and data-dependence results for this novel iterative scheme. A series of numerical illustrations an...

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Bibliographic Details
Main Authors: Rubayyi T. Alqahtani, Godwin Amechi Okeke, Cyril Ifeanyichukwu Ugwuogor
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
IA-iterative scheme
stability results
rate of convergence
data dependence
fixed-point iterative scheme
applications to HIV model of fractional order
Online Access:https://www.mdpi.com/2227-7390/13/5/739
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Summary:We introduce a new and a faster iterative method for the approximation of the fixed point of multivalued nonexpansive mappings in the setting of uniformly convex Banach spaces. We prove some stability and data-dependence results for this novel iterative scheme. A series of numerical illustrations and examples was constructed to validate our results. As an application, we propose a novel method for solving a certain fractional differential equation using our newly developed iterative scheme. Our results extend, unify, and improve several of the known results in the literature.
ISSN:2227-7390

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