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广义凸空间中的拟变分不等式问题 被引量:1

On the Quasi-variational Inequality Problems in Generalized Convex Spaces
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摘要 给出了kakutani - Fan - Glicksberg 不动点定理在广义凸空间(G- 凸空间) 中的推广, 并利用它讨论了G- In this paper,we present a generalization of Kakutani-Fan-Glicksberg's fixed point theorem and by using it,an existence problem of solutions for quasi-variational inequalities in generalized convex space is studied. Abstract:In this paper,we present a generalization of Kakutani-Fan-Glicksberg's fixed point theorem and by using it,an existence problem of solutions for quasi-variational inequalities in generalized convex space is studied. In this paper,we present a generalization of Kakutani-Fan-Glicksberg's fixed point theorem and by using it,an existence problem of solutions for quasi-variational inequalities in generalized convex space is studied.
作者 毛剑锋
出处 《湖北科技学院学报》 1999年第6期1-5,共5页 Journal of Hubei University of Science and Technology
基金 咸宁师专重点科研项目!K9911
关键词 G-凸空间 不动点 上半连续 转移开(闭)值的 集值映射 generalized convex space(G-convex space) fixed point upper semi-continuous transfer open-valued(transfer closed-valued) multifunction
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  • 1[2]S.Park and H.Kim.Coincidence theorems for admissible multifunctions on generalized convex spaces[J].J.Math,Anal.Appl,1996,197:173~187.
  • 2[3]S.Park and H.Kim.Admissible classes of multifunctions on generalized convex spaces[J],Proc.Coll.Natur.Sci.Seoul National University,1993,18:1~21.
  • 3[5]S.S.Chang,B.S.Lee,X.Wu,Y.J.Cho and G.M.Lee.On the generalized quasi-variational inequality problems[J].J.Math.Anal.Appl,1996,203:686~711.

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