2011 | OriginalPaper | Buchkapitel
Proximal Proper Saddle Points in Set-Valued Optimization
verfasst von : C. S. Lalitha, R. Arora
Erschienen in: Topics in Nonconvex Optimization
Verlag: Springer New York
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A new notion of saddle point, namely proximal proper saddle point is introduced in terms of a Lagrangian map associated with a set-valued optimization problem for which an existence criterion is obtained. It is also observed that this saddle point is not related to some of the well-known saddle points. A saddle point type optimality criterion is derived for optimality in terms of proximal proper minimizers.