Implicit functions, Lipschitz maps, and stability in optimization

Implicit functions, Lipschitz maps, and stability in optimization

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Article ID: iaor1995724
Country: United States
Volume: 19
Issue: 3
Start Page Number: 753
End Page Number: 768
Publication Date: Aug 1994
Journal: Mathematics of Operations Research
Authors: ,
Abstract:

The authors present an implicit function theorem for set-valued maps associated with the solutions of generalized equations. As corollaries of this theorem, they derive both known and new results. Strong regularity of variational inequalities and Lipschitz stability of optimization problems are discussed.

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