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《Journal of Sichuan Normal University(Natural Science)》 2009-05
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Section Theorem and Its Applications in FC-Spaces

WANG Bin1,2, SHI Yong-guo1(1. College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,Sichuan;2. Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang 641112,Sichuan)  
Ky Fan’s section theorem is generalized to FC-spaces. As applications,Browder’s fixed point theorem is also generalized to FC-spaces,minimax theorem,minimax inequality and saddle point problem for functions with vectorial ranges are studied in FC-spaces.
【Fund】: 四川省教育厅青年基金(072B042)资助项目
【CateGory Index】: O177
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 HE Rong-hua, DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalized R-KKM Type Theorems in the Product of L-convexSpace with Applications[J];Journal of Sichuan Normal University(Natural Science);2004-01
2 DENG Fang-ping,DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);KKM Selections and KKM Theorems in Topological Space[J];Journal of Sichuan Normal University(Natural Science);2005-04
3 HE Rong-hua~(1,2),DING Xie-ping~2 (1. Department of Computation Science, Chengdu University of Information Technology, Chengdu 610103, Sichuan; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);The Variant Forms of KKM Type Theorems and Their Applications in the G-convex Space[J];Journal of Sichuan Normal University(Natural Science);2005-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 JI Xiao-ming1,HUANG Jian-hua2(1.Preparatory Department,Southwest University for Nationalities,Chengdu 610041,China;2.Institute of Mathematics and Computer,Fuzhou University,Fuzhou 350002,China);Some Browder type fixed point theorems in topological spaces with applications[J];Journal of Sichuan University(Natural Science Edition);2007-05
2 WANG Min~(1,2),HE Yi-ran~2(1.Department of Mathematics and Information Science,Mianyang Normal University,Mianyang 621000,Sichuan;2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Generalized Variational Inequality Problem in Banach Spaces[J];Journal of Sichuan Normal University(Natural Science);2006-04
3 WANG Bin1,2, DING Xie-ping2 (1.Department of Mathematics,Neijiang Teacher's College, Neijiang 641112,Sichuan; 2.College of Mathematics and Software Science,Sichuan Normal University, Chengdu 610066,Sichuan);R-KKM Type Theorems in the Product Space of FC-space with Applications[J];Journal of Sichuan Normal University(Natural Science);2007-04
4 MAO Xiu-zhen1,HE Yi-ran2(1.College of Education,Sichuan Normal University,Chengdu 610066,Sichuan; 2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Generalized Equilibrium Problem for Quasimonotone Bifunctions[J];Journal of Sichuan Normal University(Natural Science);2008-01
5 ZHANG Hong-ling1,2,CHEN Zi-li1(1.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,Sichuan; 2.School of Information Science and Technology,Southwest Jiaotong University,Chengdu 610031,Sichuan);Fixed Point Theorems of Lower Semicontinuous Mapping in Locally L-uniform Spaces[J];Journal of Sichuan Normal University(Natural Science);2008-04
6 GAO Jing(Department of Computer and Mathematics,Chongqing Normal University,Chongqing 400047,China);On Generalized Strongly Nonlinear Variational Inequalities in Reflexive Banach Spaces[J];Journal of Shanxi Normal University(Natural Science Edition);2007-01
7 JIANG Shen-ming(College of Mathematics and Information Science,Nanchang Universty of Aeronautics,Nanchang Jiangxi 330063,China);Selection Theorem and Applications in FC-space[J];Mathematics in Practice and Theory;2007-21
8 WEN Kai-ting(Department of Mathematics,Bijie University,Bijie 551700,Guizhou);A New GMλ-KKM Theorem in Noncompact λ-Hyperconvex Spaces and Its Application to Abstract Economies[J];Journal of Sichuan Normal University(Natural Science);2009-05
9 WEN Kai-ting(Department of Mathematics,Bijie College,Bijie 551700,Guizhou);A GLSKKM Theorem in Noncompact Complete L-Convex Metric Spaces and Its Applications to Abstract Economies[J];Journal of Sichuan Normal University(Natural Science);2010-02
10 WEN Kaiting (Department of Mathematics,Bijie University,Bijie,Guizhou,551700,P.R.China);New GRKKM Theorems in FC-Spaces With Application to Fixed Points[J];Advances in Mathematics;2010-03
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Collectively Fixed Points and Equilibria of Generalized Games with U - Majorized Correspondences in Locally G -Convex Uniform Spaces[J];Journal of Sichuan Normal University(Natural Science);2002-06
2 FANG Min,DING Xieping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalized L-R-KKM Type Theorems and Applications in L-convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2003-05
3 DENG Fang-ping,DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);KKM Selections and KKM Theorems in Topological Space[J];Journal of Sichuan Normal University(Natural Science);2005-04
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