Academic Journal
About One Class of Operators Inclusions
| Title: | About One Class of Operators Inclusions |
|---|---|
| Authors: | N. A. Demyankov, V. S. Klimov |
| Source: | Моделирование и анализ информационных систем, Vol 19, Iss 3, Pp 63-72 (2012) Моделирование и анализ информационных систем, Vol 19, Iss 3, Pp 63-72 (2015) |
| Publisher Information: | P.G. Demidov Yaroslavl State University, 2015. |
| Publication Year: | 2015 |
| Subject Terms: | convex set, 0209 industrial biotechnology, операторное включение, векторное поле, multivalued mapping, Information technology, 02 engineering and technology, variational inequality, vector field, T58.5-58.64, выпуклое множество, многозначное отображение, 0202 electrical engineering, electronic engineering, information engineering, operator inclusion, 10. No inequality, вариационное неравенство |
| 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. |
| Document Type: | Article |
| ISSN: | 2313-5417 1818-1015 |
| DOI: | 10.18255/1818-1015-2012-3-63-72 |
| Access URL: | https://www.mais-journal.ru/jour/article/download/28/24 https://doaj.org/article/9127bbfbebd14ee69be953fa7e48be36 https://doaj.org/article/948323df610a436daf05f79e8acabf0e https://www.mais-journal.ru/jour/article/viewFile/28/24 |
| Rights: | CC BY URL: https://www.mais-journal.ru/jour/about/editorialPolicies#openAccessPolicy |
| Accession Number: | edsair.doi.dedup.....eaf045c0deb2153b2d6068badee10cc4 |
| Database: | OpenAIRE |
| ISSN: | 23135417 18181015 |
|---|---|
| DOI: | 10.18255/1818-1015-2012-3-63-72 |