About One Class of Operators Inclusions
The operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set up. Integer characteristics of multivalued ma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2015-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/28 |
| _version_ | 1797877887843434496 |
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| author | N. A. Demyankov V. S. Klimov |
| author_facet | N. A. Demyankov V. S. Klimov |
| author_sort | N. A. Demyankov |
| collection | DOAJ |
| description | The operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set up. Integer characteristics of multivalued mappings with homotopy invariance and additivity are introduced. Application to the theory of variational inequalities with multivalued operators is identified. |
| first_indexed | 2024-04-10T02:25:07Z |
| format | Article |
| id | doaj.art-948323df610a436daf05f79e8acabf0e |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:07Z |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-948323df610a436daf05f79e8acabf0e2023-03-13T08:07:33ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-01193637210.18255/1818-1015-2012-3-63-7222About One Class of Operators InclusionsN. A. Demyankov0V. S. Klimov1Ярославский государственный университет им. П. Г. ДемидоваЯрославский государственный университет им. П. Г. ДемидоваThe operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set up. Integer characteristics of multivalued mappings with homotopy invariance and additivity are introduced. Application to the theory of variational inequalities with multivalued operators is identified.https://www.mais-journal.ru/jour/article/view/28операторное включениевариационное неравенствомногозначное отображениевекторное полевыпуклое множество |
| spellingShingle | N. A. Demyankov V. S. Klimov About One Class of Operators Inclusions Моделирование и анализ информационных систем операторное включение вариационное неравенство многозначное отображение векторное поле выпуклое множество |
| title | About One Class of Operators Inclusions |
| title_full | About One Class of Operators Inclusions |
| title_fullStr | About One Class of Operators Inclusions |
| title_full_unstemmed | About One Class of Operators Inclusions |
| title_short | About One Class of Operators Inclusions |
| title_sort | about one class of operators inclusions |
| topic | операторное включение вариационное неравенство многозначное отображение векторное поле выпуклое множество |
| url | https://www.mais-journal.ru/jour/article/view/28 |
| work_keys_str_mv | AT nademyankov aboutoneclassofoperatorsinclusions AT vsklimov aboutoneclassofoperatorsinclusions |