Seperability of Star-Shaped Sets and its Application to an Optimization Problem

DOI10.1080/02331939708844310zbMath0884.52009OpenAlexW2069882276MaRDI QIDQ4342967

A. P. Shveidel

Publication date: 1 April 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939708844310

zbMATH Keywords

optimizationstar-shaped setsseparable sets

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (14)

Quasi-Multiplier Rules for Quasidifferentiable Extremum Problems ⋮ A characterization for compact sets in the space of fuzzy star-shaped numbers with \(L_p\) metric ⋮ Set-valued increasing-along-rays maps and well-posed set-valued star-shaped optimization ⋮ Starshaped sets ⋮ Increasing-along-rays property, vector optimization and well-posedness ⋮ Cone-separation and star-shaped separability with applications ⋮ Critical duality ⋮ Further investigation of abstract convexity with respect to the class of general min-type functions ⋮ Superlinear separation for radiant and coradiant sets ⋮ Abstract convexity:examples and applications ⋮ Positive invariant sets for fault tolerant multisensor control schemes ⋮ Abstract convex sets with respect to the class of general min-type functions ⋮ On starshaped fuzzy sets ⋮ Lower convergence of minimal sets in star-shaped vector optimization problems

Cites Work

• The dimension of kernel of a planar set
• The space of star-shaped sets and its applications in nonsmooth optimization
• The Dimension of the Convex Kernel of a Compact Starshaped Set

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