We present a characterization of weak sharp local minimizers of order one for a function f: ℝⁿ → ℝ defined by $f(x): = max{f_i(x)| i = 1,...,p}$, where the functions $f_i$ are strictly differentiable. It is given in terms of the gradients of $f_i$ and the Mordukhovich normal cone to a given set on which f is constant. Then we apply this result to a smooth nonlinear programming problem with constraints.
2
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW