Best approximation and perturbation property in Hilbert spaces

DOI10.1007/s10957-005-4714-2zbMath1103.41035OpenAlexW2088441465MaRDI QIDQ852109

N. E. Zubov

Publication date: 27 November 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-005-4714-2

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Best approximation, Chebyshev systems (41A50) Programming in abstract spaces (90C48) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Constrained \(L_ p\) approximation
• On 'best' interpolation
• A dual approach to constrained interpolation from a convex subset of Hilbert space
• Constrained best approximation in Hilbert space
• Smoothing and Interpolation in a Convex Subset of a Hilbert Space
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Nonlinearly Constrained Best Approximation in Hilbert Spaces: The Strong CHIP and the Basic Constraint Qualification
• On Best Approximation by Nonconvex Sets and Perturbation of Nonconvex Inequality Systems in Hilbert 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

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