Error Bounds for Degenerate Cone Inclusion Problems

Authors:
Yiran He;Jie Sun
Affiliations:
Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610068, P. R. China, and Department of Decision Sciences, National University of Singapore, Singapore;Department of Decision Sciences and Singapore-MIT Alliance, National University of Singapore, Singapore
Venue:
Mathematics of Operations Research
Year:
2005

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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 in tangent cones are discussed.