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Displaying similar documents to “On the separation of parametric convex polyhedral sets with application in MOLP”

On the points of non-differentiability of convex functions

David Pavlica (2004)

Commentationes Mathematicae Universitatis Carolinae

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We characterize sets of non-differentiability points of convex functions on n . This completes (in n ) the result by Zajíček [2] which gives a characterization of the magnitude of these sets.

r –convex transformability in nonlinear programming problems

Elżbieta Galewska, Marek Galewski (2005)

Commentationes Mathematicae Universitatis Carolinae

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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.