Title of article :
Convexity and generalized second-order derivatives for locally lipschitz functions
Original Research Article
Author/Authors :
DUSAN BEDNARIK AND KAREL PASTOR، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
We define the generalized second-order directional derivatives by means of the Clarke generalized gradient for locally Lipschitz functions. Then we give characterization of convexity and state a new sufficient optimality condition.
Keywords :
Generalized second-order directional derivative , Second-order sufficient optimality condition , Convexity , The Clarke gradient
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
