Convergence Properties of Convex Polyhedra

DOI10.1080/02331939908844448zbMath0952.49018OpenAlexW2084889181MaRDI QIDQ4944419

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Publication date: 13 August 2000

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939908844448

zbMATH Keywords

Hausdorff metricconvex polyhedronconvergencesdifferentiability of convex polyhedral-valued mappings

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• On the differentiability of multifunctions
• Comparative properties of three metrics in the space of compact convex sets
• A differential calculus for multifunctions
• Quasidifferentiable mappings and the differentiability of maximum functions
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis

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