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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.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. |