Linear regularity and \(\phi\)-regularity of nonconvex sets
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Publication:864688
DOI10.1016/j.jmaa.2006.05.028zbMath1330.49014OpenAlexW1972169171MaRDI QIDQ864688
Publication date: 12 February 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.028
Set-valued and variational analysis (49J53) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (10)
Primal necessary characterizations of transversality properties ⋮ Dual sufficient characterizations of transversality properties ⋮ Some new characterizations of intrinsic transversality in Hilbert spaces ⋮ Set regularities and feasibility problems ⋮ Geometric and metric characterizations of transversality properties ⋮ Calmness of partial perturbation to composite rank constraint systems and its applications ⋮ About intrinsic transversality of pairs of sets ⋮ Unnamed Item ⋮ Transversality properties: primal sufficient conditions ⋮ Metric inequality conditions on sets and consequences in optimization
Cites Work
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- On the Clarke subdifferential of the distance function of a closed set
- Convex functions, monotone operators and differentiability
- A dual approach to constrained interpolation from a convex subset of Hilbert space
- Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
- Constrained best approximation in Hilbert space
- Regularities and their relations to error bounds
- Qualitative properties of trajectories of control systems: a survey
- Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
- Directionally Lipschitzian Functions and Subdifferential Calculus
- Constraint Qualification, the Strong CHIP, and Best Approximation with Convex Constraints in Banach Spaces
- Metric regularity and subdifferential calculus
- Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces
- Nonsmooth sequential analysis in Asplund spaces
- Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property
- Proximal Analysis and Approximate Subdifferentials
- Strong CHIP, normality, and linear regularity of convex sets
- The Duality of Pairs of Wedges
- Set-valued analysis
- On various notions of regularity of sets in nonsmooth analysis
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