On necessary optimality conditions in a class of optimization problems

Outrata, Jiří V.. "On necessary optimality conditions in a class of optimization problems." Aplikace matematiky 34.6 (1989): 466-474. <http://eudml.org/doc/15602>.

@article{Outrata1989,
abstract = {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.},
author = {Outrata, Jiří V.},
journal = {Aplikace matematiky},
keywords = {Clarke regular graph; necessary conditions; tangent cone; locally Lipschitz objective function; set-valued map; Clarke normal cone; generalized gradient; contingent cone; Clarke regular graph; necessary conditions; tangent cone; locally Lipschitz objective function; set-valued map; Clarke normal cone; generalized gradient; contingent cone},
language = {eng},
number = {6},
pages = {466-474},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On necessary optimality conditions in a class of optimization problems},
url = {http://eudml.org/doc/15602},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Outrata, Jiří V.
TI - On necessary optimality conditions in a class of optimization problems
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 6
SP - 466
EP - 474
AB - 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.
LA - eng
KW - Clarke regular graph; necessary conditions; tangent cone; locally Lipschitz objective function; set-valued map; Clarke normal cone; generalized gradient; contingent cone; Clarke regular graph; necessary conditions; tangent cone; locally Lipschitz objective function; set-valued map; Clarke normal cone; generalized gradient; contingent cone
UR - http://eudml.org/doc/15602
ER -