The second order optimality conditions for nonlinear mathematical programming with C 1,1 data
Liping Liu, Michal Křı́žek · Applications of Mathematics · 1997
To find nonlinear minimization problems are considered and standard C 2 -regularity assumptions on the criterion function and constrained functions are reduced to C 1,1 -regularity. With the aid of the generalized second order directional derivative for C 1,1 real-valued functions, a new second order necessary optimality condition and a new second order sufficient optimality condition for these problems are derived.