ON THE MARKOV-KAKUTANI'S FIXED POINT THEOREM

  • M. ALIMOHAMMADY
    Department of Mathematics, University of Mazandaran, Babolsar, Iran, 47416 - 1468
    amohsen@umz.ac.ir
  • M. ROOHI
    Department of Mathematics, University of Mazandaran, Babolsar, Iran, 47416 - 1468
    m.roohig@umz.ac.ir
  • L. GHOLIZADEH
    Department of Mathematics, University of Mazandaran, Babolsar, Iran, 47416 - 1468
    l.gholizade@gmail.com

Abstract

This note deals with Markov-Kakutani's fixed point theorem in respect of compact p-star shaped subset of a topological vector space. In fact, it will be proved that every commutative family of continuous p-affine self mappings on a compact p-star shaped subset of a topological vector space has a common fixed point.

Cuvinte cheie

Markov Kakutani point fixed theorem affine topological vector space