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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 1, Pages 17–22 (Mi adm2)  
RESEARCH ARTICLE

Some fixed point theorems for pseudo ordered sets

S. Parameshwara Bhatta, Shiju George

Department of Mathematics, Mangalore University, Mangalagangothri, 574 199, Karnataka State, INDIA
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Abstract: 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.
Keywords: pseudo ordered set, trellis, completeness, isotone map.
Received: 09.09.2009
Revised: 04.05.2011
Bibliographic databases:
Document Type: Article
MSC: 06B05
Language: English
Citation: S. Parameshwara Bhatta, Shiju George, “Some fixed point theorems for pseudo ordered sets”, Algebra Discrete Math., 11:1 (2011), 17–22
Citation in format AMSBIB
\Bibitem{ParGeo11}
\by S.~Parameshwara Bhatta, Shiju~George
\paper Some fixed point theorems for pseudo ordered sets
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 1
\pages 17--22
\mathnet{http://mi.mathnet.ru/adm2}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2867077}
\zmath{https://zbmath.org/?q=an:06120594}
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