About the relation between some optimality conditions
Applications of Mathematics, Tome 29 (1984) no. 3, pp. 189-193
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The relation between the general optimality conditions in terms of contact cones and the Kuhn-Tucker conditions in the special case of pseudo-convex and quasi-convex functions and their consequence to Lagrangian multipliers are given.
The relation between the general optimality conditions in terms of contact cones and the Kuhn-Tucker conditions in the special case of pseudo-convex and quasi-convex functions and their consequence to Lagrangian multipliers are given.
DOI :
10.21136/AM.1984.104084
Classification :
49M37, 90C30
Keywords: optimality conditions; existence of a local solution; contact cone approximations
Keywords: optimality conditions; existence of a local solution; contact cone approximations
Palata, Jan. About the relation between some optimality conditions. Applications of Mathematics, Tome 29 (1984) no. 3, pp. 189-193. doi: 10.21136/AM.1984.104084
@article{10_21136_AM_1984_104084,
author = {Palata, Jan},
title = {About the relation between some optimality conditions},
journal = {Applications of Mathematics},
pages = {189--193},
year = {1984},
volume = {29},
number = {3},
doi = {10.21136/AM.1984.104084},
mrnumber = {0747211},
zbl = {0568.90079},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104084/}
}
[1] Jan Palata: First-order necessary condition for the existence of optimal point in nonlinear programming problem. Aplikace matematiky 25 (1980), 257-266. | MR
[2] Jan Palata: Eine hinreichende Bedingung für die Existenz eines eindeutigen lokalen Extremums. Math. Operationsforsch. u. Statist. 11 (1980), No. 4, 531-536. | DOI | MR
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