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On converse duality for a nondifferentiable program
Published online by Cambridge University Press: 17 April 2009
Abstract
A nonlinear nondifferentiable program with linear constraints is considered and a converse duality theorem is discussed. First we weaken an assumption previously made by Bhatia, and then give a simple proof under this weaker hypothesis, using the Fritz John conditions. Finally, defining a generalized Slater constraint qualification which implies Abadie's constraint qualification, we give a simple condition for the dual problem to satisfy this constraint qualification.
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- Copyright © Australian Mathematical Society 1982
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