Geodesic
$r$--convex transformability in nonlinear programming problems
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 555-565 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 49K99, 90C26, 90C30, 90C46
Keywords: nonlinear programming problem; $r$-convex transformability; sufficiency; the Karush-Kuhn-Tucker conditions 
@article{CMUC_2005_46_3_a15,
     author = {Galewska, E. and Galewski, M.},
     title = {$r$--convex transformability in nonlinear programming problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {555--565},
     year = {2005},
     volume = {46},
     number = {3},
     mrnumber = {2174532},
     zbl = {1121.49026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a15/}
}
TY  - JOUR
AU  - Galewska, E.
AU  - Galewski, M.
TI  - $r$--convex transformability in nonlinear programming problems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2005
SP  - 555
EP  - 565
VL  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a15/
LA  - en
ID  - CMUC_2005_46_3_a15
ER  - 
%0 Journal Article
%A Galewska, E.
%A Galewski, M.
%T $r$--convex transformability in nonlinear programming problems
%J Commentationes Mathematicae Universitatis Carolinae
%D 2005
%P 555-565
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a15/
%G en
%F CMUC_2005_46_3_a15
Galewska, E.; Galewski, M. $r$--convex transformability in nonlinear programming problems. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 555-565. http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a15/