Title:
|
$r$--convex transformability in nonlinear programming problems (English) |
Author:
|
Galewska, E. |
Author:
|
Galewski, M. |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
46 |
Issue:
|
3 |
Year:
|
2005 |
Pages:
|
555-565 |
. |
Category:
|
math |
. |
Summary:
|
We show that for $r$-convex transformable nonlinear programming problems the Karush-Kuhn-Tucker necessary optimality conditions are also sufficient and we provide a method of solving such problems with the aid of associated $r$-convex ones. (English) |
Keyword:
|
nonlinear programming problem |
Keyword:
|
$r$-convex transformability |
Keyword:
|
sufficiency |
Keyword:
|
the Karush-Kuhn-Tucker conditions |
MSC:
|
49K99 |
MSC:
|
90C26 |
MSC:
|
90C30 |
MSC:
|
90C46 |
idZBL:
|
Zbl 1121.49026 |
idMR:
|
MR2174532 |
. |
Date available:
|
2009-05-05T16:53:17Z |
Last updated:
|
2012-04-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119548 |
. |
Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
[8] Galewski M.: A note on invex problems with nonnegative variable.European J. Oper. Res. 163 2 (2005), 565-568. Zbl 1105.90061, MR 2106081 |
Reference:
|
[9] Hanson M.A., Mond B.: Convex transformable programming problems and invexity.J. Inform. Optim. Sci. 8 2 (1987), 201-207. Zbl 0641.90070, MR 0918248 |
Reference:
|
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Reference:
|
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