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Research Article | Open Access

A new approach of overlapping generation model via fixed point technique

Abdelkader Belhenniche1,2, Monica-Felicia Bota3( ), Liliana Guran4
Research Center for Systems and Technologies (SYSTEC), ARISE, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias s/n, office i102, 4200-465 Porto, Portugal
Laboratoire d'Etudes Pratiques en Sciences de Gestion et Sciences Commerciales, Ecole Supérieure de Commerce, 42003 Kolea, Tipaza, Algérie
Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084, Cluj-Napoca, Romania
Department of Hospitality Services, Babeş-Bolyai University, Horea Street, No. 7, 400174, Cluj-Napoca, Romania
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Abstract

This article explored a specific variant of the overlapping generation model using a nonlinear Fredholm integral equation. We considered assumptions related to the Ćirić operator, offering a new perspective compared to existing research. To solve the equation, we employed the Galerkin method, which approximates it as a finite system of equations. By combining these approaches, we conducted a comprehensive analysis of the model, providing insights into its dynamics and potential applications.

Keywords

overlapping generation modelnonlinear Fredholm equationĆirić contractive mapsGalerkin methodfixed point theory
CLC number: 45G15, 47H10

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AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 1166-1179
DOI: 10.3934/math.2024057

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Cite this article:
Belhenniche A, Bota M-F, Guran L. A new approach of overlapping generation model via fixed point technique. AIMS Mathematics, 2024, 9(1): 1166-1179. https://doi.org/10.3934/math.2024057

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Received: 17 August 2023
Revised: 26 October 2023
Accepted: 07 November 2023
Published: 15 January 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)