Some applications of the Kakutani fixed point theorem

DOI10.1016/0022-247X(87)90242-3zbMath0612.54055OpenAlexW2028030405MaRDI QIDQ1088189

Won Kyu Kim

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90242-3

zbMATH Keywords

Brouwer fixed point theoremSperner lemmaKakutani fixed point theoremKnaster-Kuratowski-Mazurkiewicz theoremintersection properties of open coverstheorem on closed coverings of a simplex

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (12)

Non-binary choice in a non-deterministic model ⋮ Foundations of the KKM theory on generalized convex spaces ⋮ On a class of new KKM theorem with applications ⋮ A united approach to generalization of the KKM-type theorems related to acyclic maps ⋮ Some fixed point theorems in locally \(p\)-convex spaces ⋮ The KKM principle implies many fixed point theorems. ⋮ Generalized KKM theorem on \(H\)-space with applications ⋮ Some applications of the Knaster-Kuratowski and Mazurkiewicz principle in hyperconvex metric spaces ⋮ Unnamed Item ⋮ Fixed point theorems in homotopically trivial spaces ⋮ Generalizations of Ky Fan's matching theorems and their applications ⋮ The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Some properties of convex sets related to fixed point theorems
• Ein Fixpunktsatz
• Unnamed Item
• Unnamed Item
• Unnamed Item

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