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《Journal of Neijiang Normal University》 2012-12
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Section Theorem and Its Applications in Topological Space

WANG Bin(The College of Mathematics and Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China)  
Ky Fans section theorem is generalized to topological space with property(H).As applications,Browder,s fixed point theorem is further generalized in topological space with property(H),whose results are made use of in proving minimax inequality theorem and saddle point theorem in topological space with property(H).
【Fund】: 四川省教育厅基金项目(11ZB023)
【CateGory Index】: O189
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【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Bin 1,LIU Heng 2(1.College of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641100,China;2.Neijiang No.2Vocational Middle School,Neijiang,Sichuan 641000,China);A Generalization of KKM-type Theorem with Their Applications in Topological Space[J];Journal of Neijiang Normal University;2013-08
【Citations】
Chinese Journal Full-text Database 10 Hits
1 LI-He-rui (School of Civil Engineering and Architecture, Bijie University, Bijie, Guizhou 551700, China);A Section Theorem in L-Convex Spaces and the Application to Coincidence Problems[J];Journal of Bijie University;2012-04
2 Wang Bin1,2(1.Key Laboratory of Numerical Simulation of Sichuan Province;2.The College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,Sichuan);Section Theorem and its Applications in L-convex Spaces[J];Journal of Baoshan University;2010-05
3 WANG Bin(School of Mathematics and Information Science// Key Laboratory of NumericalSimulation of Sichuan Province,Neijiang,Sichuan 641112,China);A Minimax Inequality in FC-Spaces and Its Applications[J];Journal of Neijiang Normal University;2009-02
4 WANG Bin(College of Mathematics & Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China);Section Theorem and Its Applications in G-convex Spaces[J];Journal of Neijiang Normal University;2010-02
5 WANG Bin(College of Mathematics and Information Science//Key Laboratory of Numerical Simulation ofSichuan Province,Neijiang Normal Univesity,Neijiang,Sichuan 641100,China);KKM Type Theorems and Their Applications in Topological Space[J];Journal of Neijiang Normal University;2011-02
6 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
7 DING Xie ping (Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Continuous Selection Theorems and Fixed Point Theorems in L-Convex Spaces with Applications[J];Journal of Sichuan Normal University(Natural Science);2001-06
8 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);Section Theorem and Its Applications in FC-Spaces[J];Journal of Sichuan Normal University(Natural Science);2009-05
9 WANG Li hui~1, GUO Wei ping~2(1.Department of Mathematics,Lianyungang Teachers College,Lanyungang 222006,China)(2.Department of Applied Mathematics,Suzhou Institute of Science and Technology,Suzhou 215009,China);Section Theorem in H-Spaces with Applications[J];Mathematics In Practice and Theory;2005-12
10 Piao Yongjie (Department of Mathematics,College of Science,Yanbian University,Jilin Yanji 133002);Section Theorems and Their Applications to Variational Inequalities on Generalized Convex Spaces[J];Acta Mathematica Scientia;2011-04
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 LI-He-rui (School of Civil Engineering and Architecture, Bijie University, Bijie, Guizhou 551700, China);A Section Theorem in L-Convex Spaces and the Application to Coincidence Problems[J];Journal of Bijie University;2012-04
2 PIAO Yong-jie1,JIN Xue-lian2(1.Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China;2.Department of Mathematics and Physics,Liaoning Institute of Technology,Jinzhou 121000,China);Remarks on Transfer Open,Closed Valued Map[J];College Mathematics;2008-04
3 CHEN Guang-sheng (Department of Computer Engineering,Hechi Vocational College,Hechi,Guangxi 547000,China);A Generalization of the Reverse Hardy-Hilbert's Integral Inequality[J];Journal of Neijiang Normal University;2009-10
4 XIAO Qiang,SI Ying-hua(School of Statistics,Lanzhou University of Finance and Economics,Lanzhou,Gansu 730020,China);Boundedness of Marcinkiewicz Integral Commutators with Rough Kernels on the Weighted Morrey-Herz Spaces[J];Journal of Neijiang Normal University;2010-10
5 ZENG Hui1,ZHANG Fu-e2(1.School of Mathematics & Information Technology,Xinjiang Education Institute,Urumqi,830043,China 2.Department of Mathematics,Teachers College,Shihezi University,Shihezi 832003,China);Casimir Function on Leibniz Manifolds[J];Journal of Neijiang Normal University;2012-04
6 WANG Bin(College of Mathematics and Information Science //Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University,Neijiang,Sichuan 641100,China);Inequalities on L-convex Space[J];Journal of Neijiang Normal University;2012-08
7 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
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 WANG Bin(Dept.of Mathematics,Neijiang Teachers College,Neijiang Sichuan 641112,China);KKM Type Theorem and Section Theorem in FC-Spaces[J];Journal of Chongqing Normal University(Natural Science);2008-02
2 LIU Xuewen(Department of Mathematics,Fuling Teachers College,Fuling 408003,China);Further Generalizations of Ky-Fan's Minimax Inequality on L-Convex Space[J];Journal of Xihua Teachers College(Natural Science);2003-03
3 WANG Bin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);KKM Type Theorems in FC-space[J];Journal of Neijiang Teachers College;2006-04
4 XU Jia-bin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);KKM Selection and KKM Theorems in G-convex Space[J];Journal of Neijiang Teachers College;2007-04
5 WANG Bin(College of Mathematics and Information Science //Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University,Neijiang,Sichuan 641100,China);Inequalities on L-convex Space[J];Journal of Neijiang Normal University;2012-08
6 LIU Xue-wen (Department of Mathematics, Fuling Theacher's College, Fuling 408000, Chongqing);Generalized GL-KKM Theorem in L-Convex Spaces with Applications[J];Journal of Sichuan Normal University(Natural Science);2004-04
7 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
8 LIU XuewenDept. of Mathematics, Fuling Theachers College, Fuling Chongqing 408003, China;A Generalization of S-KKM-type Teorem With Applications[J];Journal of Southwest China Normal University(Natural Science);2003-03
9 WANG Bin1,2, DING Xie-ping21. Department of Mathematics, Neijiang Teachers College, Neijiang Sichuan 641112, China2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu Sichuan 610066, China;A Nonempty Intersection Theorem in Topological Space with Applications[J];Acta Analysis Functionalis Applicata;2008-01
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 LI He-rui,XIA Ren-qiang,WEN Kai-ting(Department of Computer Science,Bijie University,Bijie,Guizhou 551700,China);The Browder Fixed Point Theorem in L-Convex Spaces and Applications to Abstract Economies[J];Journal of Bijie University;2010-04
2 LI He-rui,LIU Gao-wen,WEN Kai-ting(Department of Computer Science,Bijie University,Bijie,Guizhou 551700,China);A GLSKKM Theorem in L-Convex Spaces with the Application to Fixed Points[J];Journal of Bijie University;2011-04
3 WANG Bin(Dept.of Mathematics,Neijiang Teachers College,Neijiang Sichuan 641112,China);KKM Type Theorem and Section Theorem in FC-Spaces[J];Journal of Chongqing Normal University(Natural Science);2008-02
4 PIAO YONG-JIE (Department of Mathematics,Science College,Yanbian University,Yanji,Jilin,133002);KKM Theorems on FC-spaces with Their Applications to Variational Inequalities[J];数学研究通讯(英文版);2009-03
5 WANG Bin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);KKM Type Theorems in FC-space[J];Journal of Neijiang Teachers College;2006-04
6 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
7 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
8 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
9 WANG Li hui~1, GUO Wei ping~2(1.Department of Mathematics,Lianyungang Teachers College,Lanyungang 222006,China)(2.Department of Applied Mathematics,Suzhou Institute of Science and Technology,Suzhou 215009,China);Section Theorem in H-Spaces with Applications[J];Mathematics In Practice and Theory;2005-12
10 Yu Jian(Science and Technology Department of Guizhou Province, Guiyang 550002; Department of Mathematics, Guizhou University, Guiyang 550025);THE EXISTENCE AND STABILITY OF NASH EQUILIBRIA[J];Journal of Systems Science and Mathematical Sciences;2002-03
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