Extremum conditions for a nonsmooth function in terms of exhausters and coexhausters

DOI10.1134/S0081543810060027zbMath1234.49022OpenAlexW1975549799MaRDI QIDQ643749

Majid E. Abbasov, V. F. Dem'yanov

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810060027

zbMATH Keywords

nonsmooth analysisnondifferentiable optimizationconvertercoexhausterexhauster

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Newton-type methods (49M15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (9)

Proper and adjoint exhausters in nonsmooth analysis: optimality conditions ⋮ Second-order minimization method for nonsmooth functions allowing convex quadratic approximations of the augment ⋮ Comparison between quasidifferentials and exhausters ⋮ Directional differentiability, coexhausters, codifferentials and polyhedral DC functions ⋮ Adjoint coexhausters in nonsmooth analysis and extremality conditions ⋮ Alternance Form of Optimality Conditions in the Finite-Dimensional Space ⋮ Generalized exhausters: existence, construction, optimality conditions ⋮ Optimality conditions for an exhausterable function on an exhausterable set ⋮ Proper exhausters and coexhausters in nonsmooth analysis

Cites Work

• A dual representation for proper positively homogeneous functions
• Optimality conditions in terms of upper and lower exhausters
• Optimization and nonsmooth analysis
• Exhausters af a positively homogeneous function^*
• Convex Analysis
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