Some fixed point theorems for pseudo ordered sets

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Authors: Parameshwara Bhatta, S., George, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154799
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some fixed point theorems for pseudo ordered sets / S. Parameshwara Bhatta, S. George // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 17–22. — Бібліогр.: 6 назв. — англ.

In this paper, it is shown that for an isotone map f on a pseudo ordered set A, the set of all fixed points of f inherits the properties of A, namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets.