Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings Научная публикация
| Журнал |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Вых. Данные | Год: 2018, Том: 12, Номер: 1, Страницы: 167-176 Страниц : 10 DOI: 10.1134/S1990478918010155 | ||||
| Ключевые слова | homology group; linear complementarity; monotonicity; polyhedral complex; potentiality of mapping | ||||
| Авторы |
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Реферат:
We consider a special class of the fixed point problems for piecewise constant mappings of a simplex into itself. These are polyhedral complementarity problems arising in studying the classical exchange model and its variations. We study the problems that stem from the consideration of models with fixed budgets and possessing a certain property of monotonicity (logarithmic monotonicity). Our considerations are purely mathematical and not associated with the economic models that gave rise to these mathematical objects. The class of regular mappings is investigated, and their potentiality is proved. © 2018, Pleiades Publishing, Ltd.
Библиографическая ссылка:
Shmyrev V.I.
Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings
Journal of Applied and Industrial Mathematics. 2018. V.12. N1. P.167-176. DOI: 10.1134/S1990478918010155 Scopus OpenAlex
Polyhedral Complementarity on a Simplex. Potentiality of Regular Mappings
Journal of Applied and Industrial Mathematics. 2018. V.12. N1. P.167-176. DOI: 10.1134/S1990478918010155 Scopus OpenAlex
Оригинальная:
Shmyrev V.I.
Полиэдральная комплементарность на симплексе. Потенциальность регулярных отображений
Сибирский журнал индустриальной математики. 2018. Т.21. №1. С.118–128. РИНЦ
Полиэдральная комплементарность на симплексе. Потенциальность регулярных отображений
Сибирский журнал индустриальной математики. 2018. Т.21. №1. С.118–128. РИНЦ
Идентификаторы БД:
| Scopus: | 2-s2.0-85043239409 |
| OpenAlex: | W2792402325 |