Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems

Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems

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Article ID: iaor19961347
Country: Netherlands
Volume: 66
Issue: 1
Start Page Number: 1
End Page Number: 23
Publication Date: Aug 1994
Journal: Mathematical Programming (Series A)
Authors:
Keywords: programming: mathematical
Abstract:

The paper introduces qualification conditions for multivalued functions in Banach spaces involving the A-approximate subdifferential, and it shows that these conditions guarantee metric regularity of multivalued functions. The results are then applied for deriving Lagrange multipliers of Fritz-John type and Kuhn-Tucker type for infinite non-smooth vector optimization problems.

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