On necessary optimality conditions in a class of optimization problems
Outrata, Jiří V.
Applications of Mathematics, Tome 34 (1989), p. 466-474 / Harvested from Czech Digital Mathematics Library

In the paper necessary optimality conditions are derived for the minimization of a locally Lipschitz objective with respect to the consttraints $x \in S, 0 \in F(x)$, where $S$ is a closed set and $F$ is a set-valued map. No convexity requirements are imposed on $F$. The conditions are applied to a generalized mathematical programming problem and to an abstract finite-dimensional optimal control problem.

Publié le : 1989-01-01
Classification:  49B34,  49J52,  49K27,  49K99,  90C30,  90C99
@article{104377,
     author = {Ji\v r\'\i\ V. Outrata},
     title = {On necessary optimality conditions in a class of optimization problems},
     journal = {Applications of Mathematics},
     volume = {34},
     year = {1989},
     pages = {466-474},
     zbl = {0699.90082},
     mrnumber = {1026511},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104377}
}
Outrata, Jiří V. On necessary optimality conditions in a class of optimization problems. Applications of Mathematics, Tome 34 (1989) pp. 466-474. http://gdmltest.u-ga.fr/item/104377/

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