The zero duality gap property and lower semicontinuity of the perturbation function

The zero duality gap property and lower semicontinuity of the perturbation function

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Article ID: iaor2004741
Country: United States
Volume: 27
Issue: 4
Start Page Number: 775
End Page Number: 791
Publication Date: Nov 2002
Journal: Mathematics of Operations Research
Authors: , ,
Abstract:

We examine the validity of the zero duality gap properties for two important dual schemes: a generalized augmented Lagrangian dual scheme and a nonlinear Lagrange-type dual scheme. The necessary and sufficient conditions for the zero duality gap property to hold are established in terms of the lower semicontinuity of the perturbation functions.

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