Convex hull properties in location theory

DOI10.1080/01630569408816581zbMath0806.46021OpenAlexW1998244236MaRDI QIDQ4302537

Roland Durier

Publication date: 21 August 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816581

zbMATH Keywords

location theorycharacterizations of inner product spacesmonotone normsChebychev centersFermat pointsoptimization problems related to the norm of the space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

WEIGHTEDp-CENTERS AND THE CONVEX HULL PROPERTY ⋮ A stochastic gradual cover location problem ⋮ Optimal locations and inner products ⋮ Introducing multiobjective complex systems ⋮ Location of the Fermat-Torricelli medians of three points

Cites Work

• Monotonicity properties of norms
• Geometrical properties of the Fermat-Weber problem
• Absolute and monotonic norms
• Hull properties in location problems
• The Fermat-Weber problem and inner product spaces
• The Fermat-Steiner-Weber-problem in Minkowski spaces
• Extremum problems in the presence of restrictions
• Location Theory, Dominance, and Convexity

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