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:2018
Main Authors: Bhatta, S. Parameshwara, George, Shiju
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics