Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application-Reference-Cited by-同舟云学术

Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application

Published:2023-11-08 Issue:11 Volume:12 Page:1041
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ajibade Felix D.¹,Nkwuda Francis Monday²^ORCID,Joshua Hussaini³^ORCID,Fajusigbe Taiwo P.¹,Oshinubi Kayode⁴^ORCID

Affiliation:

1. Department of Mathematics, Federal University Oye-Ekiti, Oye-Ekiti 371104, Nigeria

2. Department of Mathematics, Federal University of Agriculture Abeokuta, Abeokuta 111101, Nigeria

3. Department of Mathematics, Faculty of Science, University of Kerala, Kerala 695034, India

4. School of Informatics, Computing and Cyber Systems, Northern Arizona University, Flagstaff, AZ 86011, USA

Abstract

In the context of uniformly convex Banach space, this paper focuses on examining the strong convergence of the F* iterative algorithm to the fixed point of a strongly pseudocontractive mapping. Furthermore, we demonstrate through numerical methods that the F* iterative algorithm converges strongly and faster than other current iterative schemes in the literature and extends to the fixed point of a strong pseudocontractive mapping. Finally, under a nonlinear quadratic Volterra integral equation, the application of our findings is shown.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/11/1041/pdf

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