https://doi.org/10.37193/CJM.2026.02.01
Published on 23 September 2025
Abstract.
An amenable group is a group that possesses a left-invariant mean and, furthermore, satisfies the Markov–Kakutani Fixed-Point Theorem (also known as Day’s Fixed-Point Theorem). In this article, we examine gyrogroups that satisfy the Markov–Kakutani–Day fixed-point property, and also give a characterization of amenable groups related to a fixed-point property.
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