A Generalization of The Markov-Kakutani Fixed Point Theorem
Functional Analysis
2007-05-23 v1
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.
Cite
@article{arxiv.math/0402255,
title = {A Generalization of The Markov-Kakutani Fixed Point Theorem},
author = {Jaroslaw Wawrzycki},
journal= {arXiv preprint arXiv:math/0402255},
year = {2007}
}
Comments
5 pages, Latex preparation