- Tytuł:
- On weak sharp minima for a special class of nonsmooth functions
- Autorzy:
- Studniarski, Marcin
- Powiązania:
- https://bibliotekanauki.pl/articles/729367.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
weak sharp minimizer of order one
maximum function
strictly differentiable function
normal cone - Opis:
- 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.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 2; 195-207
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł