The paper presents a general approach to find conditions which ensure the existence of maximal elements in a partially preordered set. We generalize some known results and establish new ones; moreover we show that our conditions extend recent results in the economic literature and in the theory of vector optimization, which hold under more specific assumptions on the topological and algebraic structure of the space.
On the existence of maximal elements for partial preorders / Carosi, L.; Zaffaroni, Alberto. - In: JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES. - ISSN 0252-2667. - STAMPA. - 20:(1999), pp. 271-286.
On the existence of maximal elements for partial preorders
ZAFFARONI, Alberto
1999
Abstract
The paper presents a general approach to find conditions which ensure the existence of maximal elements in a partially preordered set. We generalize some known results and establish new ones; moreover we show that our conditions extend recent results in the economic literature and in the theory of vector optimization, which hold under more specific assumptions on the topological and algebraic structure of the space.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
