Academic Journal
An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator
| العنوان: | An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator |
|---|---|
| المؤلفون: | María Isabel Berenguer, Manuel Ruiz Galán |
| المصدر: | Mathematics; Volume 10; Issue 7; Pages: 1012 |
| بيانات النشر: | Multidisciplinary Digital Publishing Institute |
| سنة النشر: | 2022 |
| المجموعة: | MDPI Open Access Publishing |
| مصطلحات موضوعية: | iterative numerical methods, Schauder bases, Fredholm integral equation |
| الوصف: | First of all, in this paper we obtain a perturbed version of the geometric series theorem, which allows us to present an iterative numerical method to approximate the fixed point of a contractive affine operator. This result requires some approximations that we obtain using the projections associated with certain Schauder bases. Next, an algorithm is designed to approximate the solution of Fredholm’s linear integral equation, and we illustrate the behavior of the method with some numerical examples. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | Computational and Applied Mathematics; https://dx.doi.org/10.3390/math10071012 |
| DOI: | 10.3390/math10071012 |
| الاتاحة: | https://doi.org/10.3390/math10071012 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: | edsbas.A6F1079C |
| قاعدة البيانات: | BASE |
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