About One Class of Operators Inclusions

About One Class of Operators Inclusions

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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...

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Bibliographic Details
Main Authors: N. A. Demyankov, V. S. Klimov
Format: Article
Language:English
Published: Yaroslavl State University 2012-01-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
операторное включение
вариационное неравенство
многозначное отображение
векторное поле
выпуклое множество
Online Access:http://mais-journal.ru/jour/article/view/28
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spelling doaj-9127bbfbebd14ee69be953fa7e48be362020-11-25T00:33:32ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172012-01-01193637222About 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.http://mais-journal.ru/jour/article/view/28операторное включениевариационное неравенствомногозначное отображениевекторное полевыпуклое множество
collection DOAJ
language English
format Article
sources DOAJ
author N. A. Demyankov
V. S. Klimov
spellingShingle N. A. Demyankov
V. S. Klimov
About One Class of Operators Inclusions
Modelirovanie i Analiz Informacionnyh Sistem
операторное включение
вариационное неравенство
многозначное отображение
векторное поле
выпуклое множество
author_facet N. A. Demyankov
V. S. Klimov
author_sort N. A. Demyankov
title About One Class of Operators Inclusions
title_short 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_sort about one class of operators inclusions
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2012-01-01
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.
topic операторное включение
вариационное неравенство
многозначное отображение
векторное поле
выпуклое множество
url http://mais-journal.ru/jour/article/view/28
work_keys_str_mv AT nademyankov aboutoneclassofoperatorsinclusions
AT vsklimov aboutoneclassofoperatorsinclusions
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