The Journal of the Indian Mathematical Society

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Chain-Completeness and Fixed Points in Partially Ordered Sets


Affiliations
1 Department of Mathematics, Government College, Kasaragod 671 123, India
2 Department of Mathematics, University of Mangalore, Mangalore, 574 199, India
     

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In this paper different characterizations of chain-complete posets are given in terms of the fixed points of certain class of functions. Further, an error in the proof of a result of Taskovic is pointed out and a correct proof of the same is given.

Keywords

Poset, Chain-Completeness, Fixed Point Property.
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  • Chain-Completeness and Fixed Points in Partially Ordered Sets

Abstract Views: 374  |  PDF Views: 2

Authors

Shiju George
Department of Mathematics, Government College, Kasaragod 671 123, India
S. P. Bhatta
Department of Mathematics, University of Mangalore, Mangalore, 574 199, India

Abstract


In this paper different characterizations of chain-complete posets are given in terms of the fixed points of certain class of functions. Further, an error in the proof of a result of Taskovic is pointed out and a correct proof of the same is given.

Keywords


Poset, Chain-Completeness, Fixed Point Property.