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Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
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M. Castellani
Published/Copyright:
June 4, 2010
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.
Key words and phrases.: Nonsmooth extremum problem; higher–order directional derivatives; higher–order necessary optimality conditions
Received: 1997-01-15
Revised: 1998-03-12
Published Online: 2010-06-04
Published in Print: 1998-December
© Heldermann Verlag
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Keywords for this article
Nonsmooth extremum problem;
higher–order directional derivatives;
higher–order necessary optimality conditions
Articles in the same Issue
- Flows of Quantum Noise
- A Result Related to the Problem CN of Fremlin
- On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
- A New Generalization of Browder Fixed Point Theorem with Applications
- Oscillatory Solutions of a Class of Nonlinear Impulsive Differential Equations of First Order with Retarded Argument
- A New Version of the Multivalued Fatou Lemma
- Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
- Uncoupling Measures and Eigenvalues of Stochastic Matrices
- Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
