Sub-topical functions and plus-co-radiant sets

DOI10.1080/02331934.2014.994629zbMath1339.26023OpenAlexW2057731068MaRDI QIDQ2790870

A. R. Doagooei

Publication date: 8 March 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2014.994629

zbMATH Keywords

sub-topical functionsabstract convex functionsnon-convex separation theoremsplus-co-radiant setsplus-radiant sets

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (4)

Some results on abstract convexity of functions ⋮ Radiant separation theorems and minimum-type subdifferentials of calm functions ⋮ Characterizing global maximizers of the difference of sub-topical functions ⋮ Unnamed Item

Cites Work

• Abstract convexity of topical functions
• Monotonic analysis over ordered topological vector spaces. IV
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• Increasing convex-along-rays functions with applications to global optimization
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• From max-plus algebra to nonexpansive mappings: A nonlinear theory for discrete event systems.
• Further Applications of the Additive Min-type Coupling Function
• Monotonic analysis over ordered topological vector spaces: II
• Convex-along-rays functions and star-shaped sets
• Topical and sub-topical functions, downward sets and abstract convexity
• Monotonic analysis over cones: II
• Optimality and Duality for Invex Nonsmooth Multiobjective programming problems
• Monotonic analysis over ordered topological vector spaces: I
• On global optimality conditions via separation functions

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