Kakutani-type fixed point theorems: a survey

DOI10.1007/s11784-010-0036-6zbMath1206.47059OpenAlexW1964097099MaRDI QIDQ626551

Isaac Namioka

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0036-6

zbMATH Keywords

Markov-Kakutani fixed point theoremKakutani's fixed point theoremFurstenberg's fixed point theoremRyll-Nardzewski's fixed point theorem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point and coincidence theorems (topological aspects) (54H25) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (6)

Fragmentable mappings and CHART groups ⋮ Around the nonlinear Ryll-Nardzewski theorem ⋮ The Hyers theorem via the Markov-Kakutani fixed point theorem ⋮ On distal flows and common fixed point theorems in Banach spaces ⋮ On fixed point theorems and nonsensitivity ⋮ Furstenberg’s structure theorem via CHART groups

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