A new approach of overlapping generation model via fixed point technique

Abdelkader Belhenniche; Monica-Felicia Bota; Liliana Guran; Abdelkader Belhenniche; Monica-Felicia Bota; Liliana Guran

doi:10.3934/math.2024057

AIMS Mathematics

2024, Volume 9, Issue 1: 1166-1179. doi: 10.3934/math.2024057

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Research article

A new approach of overlapping generation model via fixed point technique

1.
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
2.
Laboratoire d'Etudes Pratiques en Sciences de Gestion et Sciences Commerciales, Ecole Supérieure de Commerce, 42003 Kolea, Tipaza, Algérie
3.
Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084, Cluj-Napoca, Romania
4.
Department of Hospitality Services, Babeş-Bolyai University, Horea Street, No. 7, 400174, Cluj-Napoca, Romania

Received: 17 August 2023 Revised: 26 October 2023 Accepted: 07 November 2023 Published: 06 December 2023
MSC : 45G15, 47H10

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.
- overlapping generation model,
- nonlinear Fredholm equation,
- Ćirić contractive maps,
- Galerkin method,
- fixed point theory
Citation: Abdelkader Belhenniche, Monica-Felicia Bota, Liliana Guran. A new approach of overlapping generation model via fixed point technique[J]. AIMS Mathematics, 2024, 9(1): 1166-1179. doi: 10.3934/math.2024057

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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.

References

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