ON THE MARKOV-KAKUTANI'S FIXED POINT THEOREM
M. ALIMOHAMMADY(*), M. ROOHI(**), L. GHOLIZADEH(***)
Department of Mathematics, University of Mazandaran, Babolsar, Iran, 47416 - 1468.
(*). amohsen@umz.ac.ir
(**)m.roohig@umz.ac.ir
(***)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.