National Changhua University of Education Institutional Repository : Item 987654321/8888

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8888

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8888

Title:	Remarks on Generalized Quasi-equilibrium Problems
Authors:	M. P. chen;L. J. Lin;S. Park
Contributors:	數學系
Keywords:	Quasi-equilibrium;Upper semicontinuous;Compact multimap;Acyclic map;Local intersection property;Closed map
Date:	2003-01
Issue Date:	2011-05-10T06:47:05Z
Publisher:	Elsevier Science
Abstract:	Our main aim in this paper is to obtain fundamental existence theorems of quasi-equilibrium problems and generalized quasi-equilibrium problems of multivalued functions. We use a continuous selection theorem to show that the existence theorems of generalized quasi-equilibrium problems are simple consequences of the corresponding quasi-equilibrium problems. We use a generalization of Himmelberg’s theorem due to the third author for not necessary locally convex topological vector spaces to prove the existence theorems of quasi-equilibrium problems for multivalued functions.
Relation:	Nonlinear Analysis: Theory, Methods & Applications, 52(2):433-444
Appears in Collections:	[math] Periodical Articles

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