Intersecting sets in midset spaces. I

DOI10.1007/BF01200438zbMath0818.49005OpenAlexW4242467759MaRDI QIDQ1842016

Jürgen Kindler

Publication date: 18 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200438

zbMATH Keywords

connectednessconvexityminimax theoremsintersection theoremsintersecting setsMarkov-Kakutani type fixed point theoremquartercontinuous correspondences

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35) Connected and locally connected spaces (general aspects) (54D05)

Related Items

Topological minimax theorems and approximation ⋮ Extensions of Ky Fan section theorems and minimax inequality theorems ⋮ New saddle point theorem beyond topological vector spaces ⋮ Topological intersection theorems for two set—valued mappings and applications to minimax inequalities ⋮ Two-function topological minimax theorems ⋮ Intersecting sets in midsets spaces. II ⋮ Topological intersection theorems of set-valued mappings without closed graphs and their application

Cites Work

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• Order-theoretical connectivity
• Convex sets in graphs. II: Minimal path convexity
• Metrics on partially ordered sets - a survey
• A general minimax theorem based on connectedness
• Minimax theorems for interval spaces
• Intersection theorems and minimax theorems based on connectedness
• A flexible minimax theorem
• Median algebras
• Helly and Radon-type theorems in interval convexity spaces
• Topological Intersection Theorems
• Minimax theorems for upper semicontinuous functions
• Some Elementary Properties of Interval Convexities
• A ternary operation in distributive lattices
• Transitivities of Betweenness