| Title:
|
The second order optimality conditions for nonlinear mathematical programming with $C^{1,1}$ data (English) |
| Author:
|
Liu, Liping |
| Author:
|
Křížek, Michal |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
311-320 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
To find nonlinear minimization problems are considered and standard $C^2$-regularity assumptions on the criterion function and constrained functions are reduced to $C^{1,1}$-regularity. With the aid of the generalized second order directional derivative for $C^{1,1}$ real-valued functions, a new second order necessary optimality condition and a new second order sufficient optimality condition for these problems are derived. (English) |
| Keyword:
|
nonlinear programming |
| Keyword:
|
constrained problems |
| Keyword:
|
$C^{1;1}$ functions |
| Keyword:
|
second order conditions |
| MSC:
|
49J45 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0903.90152 |
| idMR:
|
MR1453935 |
| DOI:
|
10.1023/A:1023068513188 |
| . |
| Date available:
|
2009-09-22T17:55:19Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134361 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
