Directional differentiability of the metric projection in Hilbert space

DOI10.2140/pjm.1995.170.567zbMath0853.46076OpenAlexW1575302633MaRDI QIDQ1919883

Dominikus Noll

Publication date: 29 August 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.170.567

zbMATH Keywords

sensitivity analysisMosco convergenceMinkowski functionalvariational convergenceAttouch-Wets convergencedifferentiability properties of the metric projectionsecond-order Mosco derivativesmoothness type of the boundary

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Graphical methods in first and second-order differentiability theory of integral functionals ⋮ Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces ⋮ Convex analysis in normed spaces and metric projections onto convex bodies ⋮ Directional differentiability of the metric projection operator in uniformly convex and uniformly smooth Banach spaces ⋮ Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators

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