Topological Intersection Theorems

DOI10.2307/2159527zbMath0774.54016OpenAlexW4235372377MaRDI QIDQ4039300

Jürgen Kindler

Publication date: 8 August 1993

Full work available at URL: https://doi.org/10.2307/2159527

zbMATH Keywords

connectednessminimax theoremsintersecting setsconstant selectorupper semicontinuous 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 (19)

A unified study of existence theorems in topologically based settings and applications in optimization ⋮ Addendum to ``A general minimax theorem based on connectedness ⋮ Topologically finite intersection property and minimax theorems ⋮ \(L\)-topological meet theorems ⋮ Topologically-based characterizations of the existence of solutions of optimization-related problems ⋮ Connectedness and local connectedness in Lowen spaces ⋮ Extensions of Ky Fan section theorems and minimax inequality theorems ⋮ Unnamed Item ⋮ General two-function topological minimax theorems ⋮ Weak finite intersection characterizations of existence in optimization ⋮ A generalization of Browder's fixed point theorem with applications ⋮ Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization ⋮ Fuzzy topological intersection theorem ⋮ On a generalized sup-inf problem ⋮ Intersecting sets in midsets spaces. II ⋮ Intersecting sets in midset spaces. I ⋮ Nonconvexity in problems of multivalued calculus ⋮ Topological intersection theorems of set-valued mappings without closed graphs and their application ⋮ A minimax theorem for functions with possibly nonconnected intersections of sublevel sets

Cites Work

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• On some convexities
• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• Elementary proof for Sion's minimax theorem
• A general minimax theorem based on connectedness
• Minimax and fixed point theorems
• Minimax theorems for interval spaces
• A flexible minimax theorem
• Topological Minimax Theorems
• On the general minimax theorem
• Minimax theorems for upper semicontinuous functions

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