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http://elar.urfu.ru/handle/10995/108582
Название: | A Robust Iterative Approach for Solving Nonlinear Volterra Delay Integro–Differential Equations |
Авторы: | Ofem, A. E. Udofia, U. E. Igbokwe, D. I. |
Дата публикации: | 2021 |
Издатель: | 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 |
Библиографическое описание: | 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. |
Аннотация: | 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. |
Ключевые слова: | BANACH SPACE UNIFORMLY CONVEX BANACH SPACE MULTIVALUED GENERALIZED Α-NONEXPANSIVE MAPPING CONVERGENCE NONLINEAR VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATIONS |
URI: | http://elar.urfu.ru/handle/10995/108582 |
Условия доступа: | Creative Commons Attribution License |
Текст лицензии: | https://creativecommons.org/licenses/by/4.0/ |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2021.2.005 |
Сведения о поддержке: | The authors are grateful to the reviewers and editors for their useful comment swhich helped to improve this work. |
Источники: | Ural Mathematical Journal. 2021. Volume 7. № 2 |
Располагается в коллекциях: | Ural Mathematical Journal |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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umj_2021_7_2_59-85.pdf | 285,43 kB | Adobe PDF | Просмотреть/Открыть |
Лицензия на ресурс: Лицензия Creative Commons