At What Points is the Projection Mapping Differentiable?
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Publication:4740760
DOI10.2307/2321379zbMath0505.26004OpenAlexW4234182505MaRDI QIDQ4740760
Publication date: 1982
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2321379
Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (9)
Differentiability with respect to parameters of solutions to convex programming problems ⋮ Directional differentiability of metric projections onto moving sets at boundary points ⋮ Regularity of the distance function from arbitrary closed sets ⋮ Role of subgradients in variational analysis of polyhedral functions ⋮ Clarke generalized Jacobian of the projection onto the cone of positive semidefinite matrices ⋮ Inequalities characterizing coisotone cones in Euclidean spaces ⋮ Projected nonmonotone search methods for optimization with orthogonality constraints ⋮ Sensitivity Analysis of Variational Inequalities via Twice Epi-differentiability and Proto-differentiability of the Proximity Operator ⋮ Openness of the metric projection in certain Banach spaces
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