E. Galewska, M. Galewski
$r$--convex transformability in nonlinear programming problems

Comment.Math.Univ.Carolinae 46,3 (2005) 555-565.

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.

Keywords: nonlinear programming problem, $r$-convex transformability, sufficiency, the Karush-Kuhn-Tucker conditions
AMS Subject Classification: 49K99, 90C26