A Further Generalization of the Knaster-Kuratowski-Mazurkiewicz Theorem

DOI10.2307/2047877zbMath0768.47028OpenAlexW4233654984MaRDI QIDQ3971147

Naoki Shioji

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2047877

zbMATH Keywords

fixed pointminimax theoremKKM-mapfinite intersection propertyKnaster-Kuratowski-Mazurkiewicz theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Fixed-point theorems on manifolds (58C30)

Related Items (19)

Coincidences and fixed points in locally G-convex spaces ⋮ A KKM type theorem and its applications ⋮ On D-KKM theorem and its applications ⋮ New generalisations of an H-KKM type theorem and their applications ⋮ Foundations of the KKM theory on generalized convex spaces ⋮ A coincidence theorem involving contractible spaces ⋮ Extensions of Ky Fan section theorems and minimax inequality theorems ⋮ Some coincidence theorems and applications ⋮ New criteria for existence of solutions for equilibrium problems ⋮ On the Brézis Nirenberg Stampacchia-type theorems and their applications ⋮ Topological KKM theorems and generalized vector equilibria on G-convex spaces with applications ⋮ An existence result for implicit vector variational inequality with multifunctions ⋮ Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators ⋮ Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces ⋮ Multilayer approach to minimax theorems ⋮ Generalized vector equilibrium problems with trifunctions ⋮ A Remark on Coincidence Theorems ⋮ KKM lemmas and minimax inequality theorems in abstract convexity spaces ⋮ An intersection theorem in \(L\)-convex spaces with applications

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• On the use of KKM multifunctions in fixed point theory and related topics
• Some properties of convex sets related to fixed point theorems
• Minimax and fixed point theorems
• Fan's theorem concerning systems of convex inequalities and its applications
• On a Minimax Inequality of KY Fan
• A Lefschetz-type fixed point theorem
• Fixed Point Theorems for Multi-Valued Transformations

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