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: | Sun Jie, He Yiran |
Keywords: | Programming (cone) |
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.