Sharpening the Karush-John optimality conditions

Arnold Neumaier (Arnold.Neumaierunivie.ac.at)
Hermann Schichl (Hermann.Schichlesi.ac.at)

Abstract: A refined version of the Karush-John first order optimality conditions is presented which reduces the number of constraints for which a constraint qualification is needed. This version is a generalization both of the Karush-John conditions and of the first order optimality conditions for concave constraints.

Keywords: first order optimality conditions, constrained qualification, global optimization

Category 1: Nonlinear Optimization (Constrained Nonlinear Optimization )

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Entry Submitted: 07/23/2003
Entry Accepted: 07/23/2003
Entry Last Modified: 07/23/2003

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