Proper exhausters and coexhausters in nonsmooth analysis

DOI10.1080/02331934.2012.700929zbMath1292.90278OpenAlexW2020501805MaRDI QIDQ3145049

V. F. Dem'yanov

Publication date: 13 December 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.700929

zbMATH Keywords

unconstrained optimizationnonsmooth analysisconvertersnecessary and sufficient conditions for local and global optimality

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (11)

Equivalence of Two Optimality Conditions for Polyhedral Functions ⋮ Positively homogeneous functions revisited ⋮ Second-order minimization method for nonsmooth functions allowing convex quadratic approximations of the augment ⋮ Comparison between quasidifferentials and exhausters ⋮ Finding the set of global minimizers of a piecewise affine function ⋮ Directional differentiability, coexhausters, codifferentials and polyhedral DC functions ⋮ Adjoint coexhausters in nonsmooth analysis and extremality conditions ⋮ On methods for converting exhausters of positively homogeneous functions ⋮ Reduction and minimality of coexhausters ⋮ Generalized exhausters: existence, construction, optimality conditions ⋮ Optimality conditions for an exhausterable function on an exhausterable set

Cites Work

• Extremum conditions for a nonsmooth function in terms of exhausters and coexhausters
• Exhausters, coexhausters and converters in nonsmooth analysis
• A dual representation for proper positively homogeneous functions
• Optimality conditions in terms of upper and lower exhausters
• Exhausters af a positively homogeneous function^*
• Exhausters and subdifferentials in non-smooth analysis

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