On Best Approximation by Nonconvex Sets and Perturbation of Nonconvex Inequality Systems in Hilbert Spaces

DOI10.1137/S1052623402401373zbMath1051.41018OpenAlexW2016324324MaRDI QIDQ4785905

Chong Li, Ng Kung-fu

Publication date: 5 January 2003

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1052623402401373

zbMATH Keywords

best approximationnonlinear constraintstrong CHIPnonlinear inequality systemgeneralized Mangasarian-Fromowitz constraint qualification and regularitythe basic constraint qualification condition

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Related Items (11)

Best approximation and perturbation property in Hilbert spaces ⋮ On basic constraint qualifications for infinite system of convex Inequalities in Banach spaces ⋮ Lagrange multiplier characterizations of constrained best approximation with nonsmooth nonconvex constraints ⋮ Characterizing nonconvex constrained best approximation using Robinson's constraint qualification ⋮ Constraint qualifications for convex optimization without convexity of constraints: new connections and applications to best approximation ⋮ Characterizing best approximation from a convex set without convex representation ⋮ Robust constrained best approximation with nonconvex constraints ⋮ A Global Approach to Nonlinearly Constrained Best Approximation ⋮ Lagrange multiplier characterizations of constrained best approximation with infinite constraints ⋮ The FM and BCQ Qualifications for Inequality Systems of Convex Functions in Normed Linear Spaces ⋮ On best restricted range approximation in continuous complex-valued function spaces

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