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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8894

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8894

Title:	Collective Fixed points and Maximal Elements with Applications to Abstract Economies
Authors:	L. J. Lin;Q. H. Ansari
Contributors:	數學系
Keywords:	Collective fixed points theorems;Maximal element theorems;Φ-condensing multivalued maps;Transfer compactly open valued maps;LS-majorized maps;Abstract economies
Date:	2004-08
Issue Date:	2011-05-10T06:47:19Z
Publisher:	Elsevier Science
Abstract:	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.
Relation:	Journal of Mathematical Analysis and Applications, 296(2):P455-472
Appears in Collections:	[math] Periodical Articles

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