On the topological convergence of epigraphs in a partially ordered vector spaces (in Ukrainian) |
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| Author |
evm@diit.dp.ua
Department of Computer Technologies, Dnipropetrovsk State University of Railway Transport
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| Abstract |
For every net of maps defined on subsets of
a Hausdorff spaces with values in a semiordered by reproducing
cone topological vector space, problems of
topological convergence of epigraphs and coepigraphs
are investigated. The structural representation of
their topological limits is obtained.
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| Keywords |
Hausdorff spaces, semiordered topological vector space, reproducing cone, epigraphs, coepigraphs, topological convergence, structural representation
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| DOI |
doi:10.30970/ms.12.2.161-170
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Reference |
1. Когут П.И. $S$-сходимость в теории усреднения задач оптимального управления Укр. мат. журн. -- 1997. -- Т.47, №.6. -- С.1488--1498.
2. Красносельский М.А. Положительные решения операторных уравнений. – М.: Физматгиз, 1962. – 396 с. 3. Кусраев А.Г., Кутателадзе С.С. Субдифференциальное исчисление. – Hовосибирск: Hаука, 1987. – 223 с. 4. Федорчук В.В., Филлипов В.В. Общая топология. Основные конструкции. – М.: МГУ, 1988. – 252 с. 5. Dal Maso G. Introduction to $\Gamma$-convergence. -- Boston: Birkh\"auser, 1993. --- 337 p. |
| Pages |
161-170
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| Volume |
12
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| Issue |
2
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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