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A Generalization of The Markov-Kakutani Fixed Point Theorem

Jaroslaw Wawrzycki
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Abstract

In this announcement we generalize the Markov-Kakutani fixed point theorem for abelian semi-groups of affine transformations extending it on some class of non-commutative semi-groups. As an interesting example we apply it obtaining a generalization of the invariant version of the Hahn-Banach theorem.

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Jaroslaw Wawrzycki. 2004-02-16. A Generalization of The Markov-Kakutani Fixed Point Theorem. https://arxiv.org/abs/math/0402255

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