A Generalization of The Markov-Kakutani Fixed Point Theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70184In 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.5 pages, Latex preparationFunctional Analysis46A22, 46A55A Generalization of The Markov-Kakutani Fixed Point Theoremtext