| Автор | Craven, B. D. |
| Дата выпуска | 1986 |
| dc.description | Under suitable hypotheses on the function f, the two constrained minimization problems:are well known each to be dual to the other. This symmetric duality result is now extended to a class of nonsmooth problems, assuming some convexity hypotheses. The first problem is generalized to:in which T and S are convex cones, S* is the dual cone of S, and ∂<sub>y</sub> denotes the subdifferential with respect to y. The usual method of proof uses second derivatives, which are no longer available. Therefore a different method is used, where a nonsmooth problem is approximated by a sequence of smooth problems. This duality result confirms a conjecture by Chandra, which had previously been proved only in special cases. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1986 |
| Название | A note on nondifferentiable symmetric duality |
| Тип | research-article |
| DOI | 10.1017/S0334270000005178 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 28 |
| Первая страница | 30 |
| Последняя страница | 35 |
| Аффилиация | Craven B. D.; Univerisity of Melbourne |
| Выпуск | 1 |
