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A GLKKM Type Theorem for Noncompact Complete L-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points 被引量:30
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作者 WEN Kai Ting 《Journal of Mathematical Research and Exposition》 CSCD 2009年第1期19-27,共9页
In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric spaces.As applications,the properties of the solution set of variational in-equalities,intersection point sets,Ky Fan secti... In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric spaces.As applications,the properties of the solution set of variational in-equalities,intersection point sets,Ky Fan sections and maximal element sets are shown,and a Fan-Browder fixed point theorem is obtained. 展开更多
关键词 L-convex metric space noncompact measure transfer compactly open (closed) 4variational inequality section maximal element fixed point.
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A New Ky Fan Matching Theorem in Noncompact L-Convex Spaces with the Application to Systems of General Quasiequilibrium Problems 被引量:12
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作者 Kai Ting WEN 《Journal of Mathematical Research and Exposition》 CSCD 2011年第5期898-904,共7页
In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and... In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained. 展开更多
关键词 L-convex space matching weakly transfer compactly open (closed) fixed point system of general quasiequilibrium problems equilibrium.
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