| Title:
|
Derivatives of Hadamard type in scalar constrained optimization (English) |
| Author:
|
Pastor, Karel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
717-729 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Vsevolod I. Ivanov stated (Nonlinear Analysis 125 (2015), 270-289) the general second-order optimality condition for the constrained vector problem in terms of Hadamard derivatives. We will consider its special case for a scalar problem and show some corollaries for example for ${\ell}$-stable at feasible point functions. Then we show the advantages of obtained results with respect to the previously obtained results. (English) |
| Keyword:
|
$C^{1;1}$–function |
| Keyword:
|
${\ell }$–stable function |
| Keyword:
|
generalized second-order derivative |
| Keyword:
|
optimality conditions |
| MSC:
|
49J52 |
| MSC:
|
49K10 |
| idZBL:
|
Zbl 06819632 |
| idMR:
|
MR3730260 |
| DOI:
|
10.14736/kyb-2017-4-0717 |
| . |
| Date available:
|
2017-11-12T10:04:00Z |
| Last updated:
|
2018-05-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146952 |
| . |
| Reference:
|
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| . |
