| Title:
|
About the relation between some optimality conditions (English) |
| Author:
|
Palata, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1984 |
| Pages:
|
189-193 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The relation between the general optimality conditions in terms of contact cones and the Kuhn-Tucker conditions in the special case of pseudo-convex and quasi-convex functions and their consequence to Lagrangian multipliers are given. (English) |
| Keyword:
|
optimality conditions |
| Keyword:
|
existence of a local solution |
| Keyword:
|
contact cone approximations |
| MSC:
|
49M37 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0568.90079 |
| idMR:
|
MR0747211 |
| DOI:
|
10.21136/AM.1984.104084 |
| . |
| Date available:
|
2008-05-20T18:24:46Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104084 |
| . |
| Reference:
|
[1] Jan Palata: First-order necessary condition for the existence of optimal point in nonlinear programming problem.Aplikace matematiky 25 (1980), 257-266. MR 0583586 |
| Reference:
|
[2] Jan Palata: Eine hinreichende Bedingung für die Existenz eines eindeutigen lokalen Extremums.Math. Operationsforsch. u. Statist. 11 (1980), No. 4, 531-536. MR 0637315, 10.1080/02331938008842684 |
| . |