Some Maximal Elements' Theorems in FC-Spaces

Autor: Rong-Hua He, Yong Zhang
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2009 (2009)
Druh dokumentu: article
ISSN: 1025-5834
1029-242X
DOI: 10.1155/2009/905605
Popis: Let I be a finite or infinite index set, let X be a topological space, and let (Yi,φNi)i∈I be a family of FC-spaces. For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some new existence theorems of maximal elements for a set-valued mapping and a family of set-valued mappings involving a better admissible set-valued mapping are established under noncompact setting of FC-spaces. Our results improve and generalize some recent results.
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