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About the relation between some optimality conditions

Jan Palata — 1984

Aplikace matematiky

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.

First-order necessary condition for the existence of optimal point in nonlinear programming problem

Jan Palata — 1980

Aplikace matematiky

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.

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