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- Title
A PROOF OF THE MARKOV-KAKUTANI THEOREM ON NONCOMPACT SET VIA ZERMELO'S WELL-ORDERING THEOREM.
- Authors
MOHAMADI, ISSA; SAEIDI, SHAHRAM
- Abstract
The Markov-Kakutani fixed point theorem has been considered as one of the most remarkable theorems due to considerable diversity in its applications in the history of functional analysis. Different approaches have been investigated to prove this theorem; however, the condition of compactness of the underlying set is essentially used. In this paper, we develop a new method, based on Zermelo's well-ordering theorem, to weaken the compactness condition.
- Subjects
SET theory; MARKOV processes; FIXED point theory; FUNCTIONAL analysis; COMPACT spaces (Topology)
- Publication
Fixed Point Theory, 2017, Vol 18, Issue 2, p703
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2017.2.56