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FC-度量空间中的R-KKM定理及其对变分不等式和不动点的应用
引用本文:文开庭.FC-度量空间中的R-KKM定理及其对变分不等式和不动点的应用[J].应用泛函分析学报,2010,12(3):266-273.
作者姓名:文开庭
作者单位:毕节学院数学系,毕节,551700
基金项目:贵州省教育厅重点资助项目,毕节地区科技局经费资助项目 
摘    要:引入了FC-度量空间,建立了非紧FC-度量空间中的R-KKM定理.作为应用,研究了非紧FC-度量空间中的变分不等式的解集、相交点集、Ky Fan截口和极大元集的性质,获得了FC-度量空间中的Fan-Browder不动点定理.

关 键 词:FC-度量空间  R-KKM映射  转移紧开(闭)  变分不等式  不动点

R-KKM Theorems in FC-Metric Spaces with Applications to Variational Inequalities and Fixed Points
WEN Kaiting.R-KKM Theorems in FC-Metric Spaces with Applications to Variational Inequalities and Fixed Points[J].Acta Analysis Functionalis Applicata,2010,12(3):266-273.
Authors:WEN Kaiting
Institution:WEN Kaiting (Department of Mathematics,Bijie University,Bijie 551700,China )
Abstract:In this paper,the FC-metric space is introduced and an R-KKM theorem is established for noncompact FC-metric spaces.As applications,the properties of the solution set of variational inequalities,intersection point set,Ky Fan section and the maximal element set are shown,and a Fan-Browder fixed point theorem in FC-metric spaces is obtained.
Keywords:FC-metric space  R-KKMK mapping  finitely metrically open(closed)  variational inequality  fixed point
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