First-order necessary condition for the existence of optimal point in nonlinear programming problem
Applications of Mathematics, Tome 25 (1980) no. 4, pp. 257-266
In the paper a necessary condition is given for the existence of a minimal point of once continuously differentiable (generally non-convex) function over a general set.
In the paper a necessary condition is given for the existence of a minimal point of once continuously differentiable (generally non-convex) function over a general set.
DOI :
10.21136/AM.1980.103859
Classification :
90C30
Keywords: contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions
Keywords: contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions
@article{10_21136_AM_1980_103859,
author = {Palata, Jan},
title = {First-order necessary condition for the existence of optimal point in nonlinear programming problem},
journal = {Applications of Mathematics},
pages = {257--266},
year = {1980},
volume = {25},
number = {4},
doi = {10.21136/AM.1980.103859},
mrnumber = {0583586},
zbl = {0439.90082},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103859/}
}
TY - JOUR AU - Palata, Jan TI - First-order necessary condition for the existence of optimal point in nonlinear programming problem JO - Applications of Mathematics PY - 1980 SP - 257 EP - 266 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103859/ DO - 10.21136/AM.1980.103859 LA - en ID - 10_21136_AM_1980_103859 ER -
%0 Journal Article %A Palata, Jan %T First-order necessary condition for the existence of optimal point in nonlinear programming problem %J Applications of Mathematics %D 1980 %P 257-266 %V 25 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103859/ %R 10.21136/AM.1980.103859 %G en %F 10_21136_AM_1980_103859
Palata, Jan. First-order necessary condition for the existence of optimal point in nonlinear programming problem. Applications of Mathematics, Tome 25 (1980) no. 4, pp. 257-266. doi: 10.21136/AM.1980.103859
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