Nonlinear error bounds for lower semicontinuous functions on metric spaces

DOI10.1007/s10107-007-0102-zzbMath1190.90206OpenAlexW2143116882MaRDI QIDQ927157

Viorica V. Motreanu, Jean-Noël Corvellec

Publication date: 4 June 2008

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-007-0102-z

zbMATH Keywords

variational principlestrong slope

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Nonsmooth analysis (49J52)

Related Items (22)

Nonlinear error bounds for quasiconvex inequality systems ⋮ Error bounds revisited ⋮ Characterizations of stability of error bounds for convex inequality constraint systems ⋮ Hölder-type global error bounds for non-degenerate polynomial systems ⋮ From error bounds to the complexity of first-order descent methods for convex functions ⋮ Perturbation of error bounds ⋮ Error bounds and Hölder metric subregularity ⋮ Global error bounds for \(\gamma \)-paraconvex multifunctions ⋮ Unnamed Item ⋮ Linear and nonlinear error bounds for lower semicontinuous functions ⋮ Error bounds for vector-valued functions: necessary and sufficient conditions ⋮ Nonlinear metric subregularity ⋮ Nonlinear error bounds via a change of function ⋮ Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity ⋮ A note on well-posed problems ⋮ Error bounds: necessary and sufficient conditions ⋮ ŁOJASIEWICZ-TYPE INEQUALITIES AND GLOBAL ERROR BOUNDS FOR NONSMOOTH DEFINABLE FUNCTIONS IN O-MINIMAL STRUCTURES ⋮ Transversality properties: primal sufficient conditions ⋮ Error bounds and metric subregularity ⋮ Some characterizations of error bound for non-lower semicontinuous functions ⋮ Nonlinear local error bounds via a change of metric ⋮ On error bounds for systems

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