Gradients Généralisés de Fonctions Marginales
- 1 March 1978
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 16 (2) , 301-316
- https://doi.org/10.1137/0316019
Abstract
In this paper, we give different evaluations of generalized gradients of functions defined by: $\varphi _F (x) = {\operatorname{Inf}}\{ {f(x,y)\mid y \in F(x)} \}$. In this expression, f is a locally Lipschitz function on $X \times Y$ and we examine successively the cases: $F(x) = Y$, $F(x) = F$ for all x, and F an arbitrary set-valued mapping with closed graph.
Keywords
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