Weak chain-completeness and fixed point property for pseudo-ordered sets |
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| Authors: | S. Parameshwara Bhatta |
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| Affiliation: | (1) Department of Mathematics, Mangalore University, Mangalagangothri, Karnataka, 574 199, India |
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| Abstract: | ![]()
In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point. |
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| Keywords: | pseudo-ordered set trellis complete trellis fixed point property weak chain completeness |
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