Relation between Demyanov difference and Minkowski difference of convex compact subsets in \(R^2\)

DOI10.1007/BF02831982zbMath1111.49010OpenAlexW2079585194MaRDI QIDQ874358

Chun-Ling Song, Zun-Quan Xia, Shu-Yang Li, Li-wei Zhang

Publication date: 5 April 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02831982

zbMATH Keywords

Lipschitz functionsnon-smooth optimizationMinkowski dualityquasidifferentiable functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)

Uses Software

• Matlab

Cites Work

• Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization.
• Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday
• Representative of quasidifferentials and its formula for a quasidifferentiable function
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
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