A Generalization of The Markov-Kakutani Fixed Point Theorem

Mathematics – Functional Analysis

Scientific paper

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5 pages, Latex preparation

Scientific paper

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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