| Title:
|
Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data (English) |
| Author:
|
Liu, Liping |
| Author:
|
Neittaanmäki, Pekka |
| Author:
|
Křížek, Michal |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
45 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
381-397 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class $C^{1,1}$. Second-order optimality conditions for local Pareto solutions are derived as a special case. (English) |
| Keyword:
|
multiobjective programming |
| Keyword:
|
nonsmooth constrained optimization |
| Keyword:
|
second-order optimality conditions |
| Keyword:
|
nondominated solutions |
| Keyword:
|
local Pareto optimal solutions |
| MSC:
|
49J52 |
| MSC:
|
90C29 |
| MSC:
|
90C31 |
| MSC:
|
90C46 |
| idZBL:
|
Zbl 0995.90085 |
| idMR:
|
MR1777017 |
| DOI:
|
10.1023/A:1022272728208 |
| . |
| Date available:
|
2009-09-22T18:04:37Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134446 |
| . |
| Reference:
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