A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa

Fixexd point theory and applications

Barbara Przebieracz¹ 

[1] Institute of Mathematics, University of Silesia, Katowice, Poland

关键词: Mazur-Orlicz theorem;    Markov-Kakutani theorem;    46A22;    47H10;   

DOI  :  10.1186/s13663-014-0257-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we present a new proof of the Mazur-Orlicz theorem, which uses the Markov-Kakutani common fixed point theorem, and a new proof of the Markov-Kakutani common fixed point theorem, which uses the Mazur-Orlicz theorem.

【 授权许可】

CC BY