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
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.