Some Maximal Elements' Theorems in FC-Spaces

Some Maximal Elements' Theorems in FC-Spaces

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 o...

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Main Authors: Rong-Hua He, Yong Zhang
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/905605
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spelling doaj-f63a688054074fb980509becb847fb632020-11-25T00:23:34ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/905605Some Maximal Elements' Theorems in FC-SpacesRong-Hua HeYong ZhangLet 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. http://dx.doi.org/10.1155/2009/905605
collection DOAJ
language English
format Article
sources DOAJ
author Rong-Hua He
Yong Zhang
spellingShingle Rong-Hua He
Yong Zhang
Some Maximal Elements' Theorems in FC-Spaces
Journal of Inequalities and Applications
author_facet Rong-Hua He
Yong Zhang
author_sort Rong-Hua He
title Some Maximal Elements' Theorems in FC-Spaces
title_short Some Maximal Elements' Theorems in FC-Spaces
title_full Some Maximal Elements' Theorems in FC-Spaces
title_fullStr Some Maximal Elements' Theorems in FC-Spaces
title_full_unstemmed Some Maximal Elements' Theorems in FC-Spaces
title_sort some maximal elements' theorems in fc-spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description 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.
url http://dx.doi.org/10.1155/2009/905605
work_keys_str_mv AT ronghuahe somemaximalelementstheoremsinfcspaces
AT yongzhang somemaximalelementstheoremsinfcspaces
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