On weak sharp minima for a special class of nonsmooth functions
Marcin Studniarski
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 20 (2000), p. 195-207 / Harvested from The Polish Digital Mathematics Library
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We present a characterization of weak sharp local minimizers of order one for a function f: ℝⁿ → ℝ defined by f(x):=maxfi(x)|i=1,...,p, where the functions fi are strictly differentiable. It is given in terms of the gradients of fi 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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:271556 
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Marcin Studniarski. On weak sharp minima for a special class of nonsmooth functions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 20 (2000) pp. 195-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1012/

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