Title of article :
On characterization of convexity for regularly locally Lipschitz functions
Original Research Article
Author/Authors :
DUSAN BEDNARIK AND KAREL PASTOR، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
We use a second-order upper (Dini) directional derivative in order to characterize convexity for regularly locally Lipschitz functions. This improves, in a certain sense, the previously obtained results of Cominetti, Correa and Yang.
Keywords :
Generalized second-order directional derivative , Second-order characterization , Locally Lipschitz function , Quasi-convex function , convex function , Regular function
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
