Minimax exactness and global saddle points of nonlinear augmented Lagrangians
Abstract:We study global minimax exactness of merit functions for constrained optimization problems. This concept arises as a natural generalization of the definition of global saddle points in the unified theory of exactness of penalty and augmented Lagrangian functions. We obtain necessary and sufficient conditions for the global minimax exactness of nonlinear augmented Lagrangians in the form of the localization principle, which allow one to reduce the study of the existence of global saddle points (or the existence… Show more
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