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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

Issue:

SSRSMI, Number 1, Volume XIX

Section:

Volume 19, Number 1

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.

Keywords:

Markov, Kakutani, point, fixed, theorem, affine, topological, vector, space.

Code [ID]:

SSRSMI200901V19S01A0002 [0003009]

Full paper:

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