Geodesic
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 
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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

[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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