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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Metric Regularity and Optimality Conditions in Nonsmooth Optimization
verfasst von : Anulekha Dhara, Aparna Mehra
Erschienen in: Topics in Nonconvex Optimization
Verlag: Springer New York
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The concept of metric regularity and its role in deriving the optimality conditions for optimization problems is not new. This chapter presents the notion of metric regularity and explores the relationship between a modified version of the well-known basic constraint qualification with that of metric regularity.We also study its application in obtaining the Karush—Kuhn—Tucker optimality conditions for nonsmooth optimization problems with set inclusion and abstract constraints by converting the constrained problem into an unconstrained problem.