دورية أكاديمية
A Robust Iterative Approach for Solving Nonlinear Volterra Delay Integro–Differential Equations
| العنوان: | A Robust Iterative Approach for Solving Nonlinear Volterra Delay Integro–Differential Equations |
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| المؤلفون: | Ofem, A. E., Udofia, U. E., Igbokwe, D. I. |
| بيانات النشر: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
| سنة النشر: | 2021 |
| المجموعة: | Ural Federal University (URFU): ELAR / Уральский федеральный университет: электронный архив УрФУ |
| مصطلحات موضوعية: | BANACH SPACE, UNIFORMLY CONVEX BANACH SPACE, MULTIVALUED GENERALIZED Α-NONEXPANSIVE MAPPING, CONVERGENCE, NONLINEAR VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATIONS |
| الوصف: | This paper presents a new iterative algorithm for approximating the fixed points of multivalued generalized α–nonexpansive mappings. We study the stability result of our new iterative algorithm for a larger concept of stability known as weak w2–stability. Weak and strong convergence results of the proposed iterative algorithm are also established. Furthermore, we show numerically that our new iterative algorithm outperforms several known iterative algorithms for multivalued generalized α–nonexpansive mappings. Again, as an application, we use our proposed iterative algorithm to find the solution of nonlinear Volterra delay integro-differential equations. Finally, we provide an illustrative example to validate the mild conditions used in the result of the application part of this study. Our results improve, generalize and unify several results in the existing literature. ; The authors are grateful to the reviewers and editors for their useful comment swhich helped to improve this work. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2414-3952 |
| العلاقة: | Ural Mathematical Journal. 2021. Volume 7. № 2; Ofem A. E. A Robust Iterative Approach for Solving Nonlinear Volterra Delay Integro–Differential Equations / A. E. Ofem, U. E. Udofia, D. I. Igbokwe. — DOI 10.15826/umj.2021.2.005. — Text : electronic // Ural Mathematical Journal. — 2021. — Volume 7. — № 2. — P. 59-85.; http://elar.urfu.ru/handle/10995/108582Test |
| DOI: | 10.15826/umj.2021.2.005 |
| الإتاحة: | https://doi.org/10.15826/umj.2021.2.005Test https://doi.org/10.15826/umj.2021.2.005Test. http://elar.urfu.ru/handle/10995/108582Test |
| حقوق: | Creative Commons Attribution License ; https://creativecommons.org/licenses/by/4.0Test/ |
| رقم الانضمام: | edsbas.FCE03D6 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 24143952 |
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| DOI: | 10.15826/umj.2021.2.005 |