Inhomogeneous convex approximations of nonsmooth functions

DOI10.3103/S1066369X12120043zbMath1260.49020MaRDI QIDQ1941677

Maksim V. Dolgopolik

Publication date: 21 March 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysiscoexhausterexhaustive family of approximationsinhomogeneous lower concave approximationinhomogeneous upper convex approximation

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (4)

Second-order minimization method for nonsmooth functions allowing convex quadratic approximations of the augment ⋮ A convergence analysis of the method of codifferential descent ⋮ Abstract convex approximations of nonsmooth functions ⋮ Direct Methods in the Parametric Moving Boundary Variational Problem

Cites Work

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• Optimality conditions in terms of upper and lower exhausters
• Optimization and nonsmooth analysis
• Optimality Conditions for Quasi-Differentiable Programs with Application to Two-Level Optimization
• Exhausters af a positively homogeneous function^*
• Some remarks on the space of differences of sublinear functions

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