| Title:
|
Strict minimizers of order $m$ in nonsmooth optimization problems (English) |
| Author:
|
Antczak, Tadeusz |
| Author:
|
Kisiel, Krzysztof |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
213-232 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper, some sufficient optimality conditions for strict minima of order $m$ in constrained nonlinear mathematical programming problems involving (locally Lipschitz) $(F,\rho )$-convex functions of order $m$ are presented. Furthermore, the concept of strict local minimizer of order $m$ is also used to state various duality results in the sense of Mond-Weir and in the sense of Wolfe for such nondifferentiable optimization problems. (English) |
| Keyword:
|
nonsmooth programming |
| Keyword:
|
strict local minimizer of order $m$ |
| Keyword:
|
Clarke's generalized gradient |
| Keyword:
|
$(F, \rho )$-convex function of order $m$ with respect to $\theta $ |
| MSC:
|
49J52 |
| MSC:
|
90C26 |
| MSC:
|
90C29 |
| MSC:
|
90C46 |
| idZBL:
|
Zbl 1150.90007 |
| idMR:
|
MR2241528 |
| . |
| Date available:
|
2009-05-05T16:56:53Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119588 |
| . |
| Reference:
|
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| . |
