Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization

@article{Bauschke1999StrongCH,
  title={Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization},
  author={Heinz H. Bauschke and J. Borwein and Wu Li},
  journal={Mathematical Programming},
  year={1999},
  volume={86},
  pages={135-160}
}
Abstract.The strong conical hull intersection property and bounded linear regularity are properties of a collection of finitely many closed convex intersecting sets in Euclidean space. These fundamental notions occur in various branches of convex optimization (constrained approximation, convex feasibility problems, linear inequalities, for instance). It is shown that the standard constraint qualification from convex analysis implies bounded linear regularity, which in turn yields the strong… Expand
Bounded linear regularity of convex sets in Banach spaces and its applications
The strong conical hull intersection property for convex programming
Strong CHIP, normality, and linear regularity of convex sets
Global Error Bounds for Convex Conic Problems
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References

SHOWING 1-10 OF 48 REFERENCES
Metric regularity, strong CHIP, and CHIP are distinct properties
Fenchel Duality and the Strong Conical Hull Intersection Property
A Unified Analysis of Hoffman's Bound via Fenchel Duality
Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities
  • Wu Li
  • Mathematics, Computer Science
  • SIAM J. Optim.
  • 1997
Error Bounds for Convex Inequality Systems
Asymptotic constraint qualifications and global error bounds for convex inequalities
Constrained best approximation in Hilbert space, II
...
1
2
3
4
5
...