C 1,1 functions
second order conditions
Springer Online Journal Archives 1860-2000
Abstract 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.
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