The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 316

PDF Views: 2




  • Chain-Completeness and Fixed Points in Partially Ordered Sets

Abstract Views: 316  |  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.