Error bounds for degenerate cone inclusion problems

Error bounds for degenerate cone inclusion problems

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Article ID: iaor20061414
Country: United States
Volume: 30
Issue: 3
Start Page Number: 701
End Page Number: 717
Publication Date: Aug 2005
Journal: Mathematics of Operations Research
Authors: ,
Keywords: Programming (cone)
Abstract:

Error bounds for cone inclusion problems in Banach spaces are established under conditions weaker than Robinson's constraint qualification. The results allow the cone to be more general than the origin and therefore also generalize a classical error bound result concerning equality-constrained sets in optimization. Applications in finite-dimensional differentiable inequalities and the tangent cones are discussed.

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