Reduction of finite exhausters

DOI10.1007/s10898-009-9444-9zbMath1206.46063OpenAlexW1991601695MaRDI QIDQ967244

Jerzy Grzybowski, Ryszard Urbański, Diethard Pallaschke

Publication date: 28 April 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9444-9

zbMATH Keywords

exhausterspairs of convex bodies

Mathematics Subject Classification ID

Nonlinear programming (90C30) Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (12)

Saddle representations of positively homogeneous functions by linear functions ⋮ Weak subdifferential/superdifferential, weak exhausters and optimality conditions ⋮ Unnamed Item ⋮ Positively homogeneous functions revisited ⋮ On the conjecture by Demyanov-Ryabova in converting finite exhausters ⋮ Order cancellation law in the family of bounded convex sets ⋮ On minimal representations by a family of sublinear functions ⋮ Geometric conditions of reduction of exhausters ⋮ On methods for converting exhausters of positively homogeneous functions ⋮ On reduction of exhausters via a support function representation ⋮ Some relationships among quasidifferential, weak subdifferential and exhausters ⋮ Reduction of weak exhausters and optimality conditions via reduced weak exhausters

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