Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$
We prove theorems on the existence of solutions of variational inequalities and operator inclusions in Banach spaces with multivalued mappings of the class (S)+. We justify the method of penalty operators for variational inequalities.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4557 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791700590395392 |
|---|---|
| author | Mel'nik, V. S. Мельник, В. С. Мельник, В. С. |
| author_facet | Mel'nik, V. S. Мельник, В. С. Мельник, В. С. |
| author_institution_txt_mv | [
{
"author": "В. С. Мельник",
"institution": null
}
] |
| author_sort | Mel'nik, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:24Z |
| description | We prove theorems on the existence of solutions of variational inequalities and operator inclusions in Banach spaces with multivalued mappings of the class (S)+. We justify the method of penalty operators for variational inequalities. |
| first_indexed | 2026-03-24T03:01:09Z |
| format | Article |
| fulltext |
0073
0074
0075
0076
0077
0078
0079
0080
0081
0082
0083
|
| id | umjimathkievua-article-4557 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:09Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/17/c38754d5faeb2087581ec613f09b4217.pdf |
| spelling | umjimathkievua-article-45572020-03-18T20:31:24Z Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ Мультивариационные неравенства и операторные включения в банаховых пространствах с отображениями класса $(S)_{+}$ Mel'nik, V. S. Мельник, В. С. Мельник, В. С. We prove theorems on the existence of solutions of variational inequalities and operator inclusions in Banach spaces with multivalued mappings of the class (S)+. We justify the method of penalty operators for variational inequalities. Доведено теорему існування розв'язків варіаційних нерівностей і операторних включень в банахових просторах з множиннозначними відображеннями класу $(S)_{+}$. Для варіаційних нерівностей обгрунтовано метод штрафних операторів. Institute of Mathematics, NAS of Ukraine 2000-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4557 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 11 (2000); 1513-1523 Український математичний журнал; Том 52 № 11 (2000); 1513-1523 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4557/5818 https://umj.imath.kiev.ua/index.php/umj/article/view/4557/5819 Copyright (c) 2000 Mel'nik V. S. |
| spellingShingle | Mel'nik, V. S. Мельник, В. С. Мельник, В. С. Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title | Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title_alt | Мультивариационные неравенства и операторные включения в банаховых пространствах с отображениями класса $(S)_{+}$ |
| title_full | Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title_fullStr | Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title_full_unstemmed | Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title_short | Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ |
| title_sort | multivariational inequalities and operator inclusions in banach spaces with mappings of the class $(s)_{+}$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4557 |
| work_keys_str_mv | AT mel039nikvs multivariationalinequalitiesandoperatorinclusionsinbanachspaceswithmappingsoftheclasss AT melʹnikvs multivariationalinequalitiesandoperatorinclusionsinbanachspaceswithmappingsoftheclasss AT melʹnikvs multivariationalinequalitiesandoperatorinclusionsinbanachspaceswithmappingsoftheclasss AT mel039nikvs mulʹtivariacionnyeneravenstvaioperatornyevklûčeniâvbanahovyhprostranstvahsotobraženiâmiklassas AT melʹnikvs mulʹtivariacionnyeneravenstvaioperatornyevklûčeniâvbanahovyhprostranstvahsotobraženiâmiklassas AT melʹnikvs mulʹtivariacionnyeneravenstvaioperatornyevklûčeniâvbanahovyhprostranstvahsotobraženiâmiklassas |