r –convex transformability in nonlinear programming problems

Elżbieta Galewska; Marek Galewski

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 3, page 555-565
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Galewska, Elżbieta, and Galewski, Marek. "$r$–convex transformability in nonlinear programming problems." Commentationes Mathematicae Universitatis Carolinae 46.3 (2005): 555-565. <http://eudml.org/doc/249545>.

@article{Galewska2005,
abstract = {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.},
author = {Galewska, Elżbieta, Galewski, Marek},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonlinear programming problem; $r$-convex transformability; sufficiency; the Karush-Kuhn-Tucker conditions; the Karush-Kuhn-Tucker conditions},
language = {eng},
number = {3},
pages = {555-565},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {$r$–convex transformability in nonlinear programming problems},
url = {http://eudml.org/doc/249545},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Galewska, Elżbieta
AU - Galewski, Marek
TI - $r$–convex transformability in nonlinear programming problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 3
SP - 555
EP - 565
AB - 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.
LA - eng
KW - nonlinear programming problem; $r$-convex transformability; sufficiency; the Karush-Kuhn-Tucker conditions; the Karush-Kuhn-Tucker conditions
UR - http://eudml.org/doc/249545
ER -

References

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