Some fixed point theorems for pseudo ordered sets

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.

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Bibliographic Details
Date:2011
Main Authors: Parameshwara Bhatta, S., George, S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2011
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154799
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine