Some general principles in tropical convexities

DOI10.1051/proc/201657048zbMath1397.14078OpenAlexW2766909182MaRDI QIDQ4606396

Charles D. Horvath

Publication date: 7 March 2018

Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201657048

zbMATH Keywords

convex spaceKnaster-Kuratowski-Mazurkiewicz theoremKakutani separation property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22)

Related Items

Max-plus convexity in Archimedean Riesz spaces ⋮ Ky-Fan inequality, Nash equilibria in some idempotent and harmonic convex structure

Cites Work

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• Hyperspaces of MAX-plus convex subsets of powers of the real line
• Contractibility and generalized convexity
• Topological convexities, selections and fixed points
• The structure of max-plus hyperplanes
• Spaces of idempotent measures of compact metric spaces
• Some properties of convex sets related to fixed point theorems
• Kakutani property of the polytopes implies Kakutani property of the whole space
• Extension and selection theorems in topological spaces with a generalized convexity structure
• Duality and separation theorems in idempotent semimodules.
• Nash points, Ky Fan inequality and equilibria of abstract economies in Max-plus and \(\mathbb B\)-convexity
• Starshaped Unions and Nonempty Intersections of Convex Sets in R d
• Intersection of sets with 𝑛-connected unions
• Covering Properties of Convex Sets
• A Selection Theorem for Topological Convex Structures
• On Certain Intersection Properties of Convex Sets