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题名: Collective Fixed points and Maximal Elements with Applications to Abstract Economies
作者: L. J. Lin;Q. H. Ansari
贡献者: 數學系
关键词: Collective fixed points theorems;Maximal element theorems;Φ-condensing multivalued maps;Transfer compactly open valued maps;LS-majorized maps;Abstract economies
日期: 2004-08
上传时间: 2011-05-10T06:47:19Z
出版者: Elsevier Science
摘要: In this paper, we first establish collective fixed points theorems for a family of multivalued maps
with or without assuming that the product of these multivalued maps is Φ-condensing. As an application
of our collective fixed points theorem, we derive the coincidence theorem for two families
of multivalued maps defined on product spaces. Then we give some existence results for maximal
elements for a family of LS-majorized multivalued maps whose product is Φ-condensing. We also
prove some existence results for maximal elements for a family of multivalued maps which are not
LS-majorized but their product is Φ-condensing. As applications of our results, some existence results
for equilibria of abstract economies are also derived. The results of this paper are more general
than those given in the literature.
關聯: Journal of Mathematical Analysis and Applications, 296(2):P455-472
显示于类别:[數學系] 期刊論文


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