Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
Copyright policy )Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
Abstract By extending the definition of Dini–Hadamard directional derivatives, higher–order necessary optimality conditions for a nonsmooth extremum problem are established, in the presence of both equality and inequality constraints. The presence of a regularity assumption for the inequality constraints strenghtens the optimality condition.
higher-order necessary optimality conditions, Nonlinear programming, Nonsmooth analysis, nonsmooth extremum problem, Optimality conditions for problems in abstract spaces, higher-order directional derivatives
higher-order necessary optimality conditions, Nonlinear programming, Nonsmooth analysis, nonsmooth extremum problem, Optimality conditions for problems in abstract spaces, higher-order directional derivatives
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