Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space

DOI10.1016/j.na.2011.04.045zbMath1236.49037OpenAlexW2069484252MaRDI QIDQ654096

Matthieu Sebbah, Lionel Thibault

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.045

zbMATH Keywords

metric projectionproximal normal conecompatible parameterizationMordukhovich limiting normal coneprox-regular setstruncated normal cone intersection propertytruncated normal cone inverse image property

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items

Stability of variational inequalities and prox-regularity in Hilbert space, Some iterative methods for solving nonconvex bifunction equilibrium variational inequalities, Existence theorems for multivalued variational inequality problems on uniformly prox-regular sets, Full stability of general parametric variational systems, Variational analysis and full stability of optimal solutions to constrained and minimax problems, Subdifferentiation of regularized functions

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