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.
- Augmented Lagrangian
- Nonlinear Lagrangian
- Nonlinear penalization
- Zero duality gap property
ASJC Scopus subject areas
- Computer Science Applications
- Management Science and Operations Research