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On converse duality for a nondifferentiable program

Published online by Cambridge University Press:  17 April 2009

T.R. Gulati
T.R. Gulati
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee 247672, India.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 71 - 80
Copyright
Copyright © Australian Mathematical Society 1982

References

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