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《Acta Analysis Functionalis Applicata》 2008-01
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A Nonempty Intersection Theorem in Topological Space with Applications

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 new nonempty intersection theorem is proved in FC-space. As applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some minimax inequalities are proved in FC-space. These theorems improve some known results.
【Fund】: 四川省教育厅重点科研基金(2003A081)
【CateGory Index】: O189.11
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【References】
Chinese Journal Full-text Database 2 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];内江师范学院学报;2013-08
2 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];内江师范学院学报;2009-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WANG Bin(The College of Mathematics and Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China);Section Theorem and Its Applications in Topological Space[J];内江师范学院学报;2012-12
2 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];内江师范学院学报;2012-08
3 WANG Bin(Dept.of Mathematics,Neijiang Teachers College,Neijiang Sichuan 641112,China);KKM Type Theorem and Section Theorem in FC-Spaces[J];重庆师范大学学报(自然科学版);2008-02
4 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];应用泛函分析学报;2008-01
5 XU Jia-bin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);KKM Selection and KKM Theorems in G-convex Space[J];内江师范学院学报;2007-04
6 WANG Bin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);KKM Type Theorems in FC-space[J];内江师范学院学报;2006-04
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];四川师范大学学报(自然科学版);2005-04
8 LIU Xue-wen (Department of Mathematics, Fuling Theacher's College, Fuling 408000, Chongqing);Generalized GL-KKM Theorem in L-Convex Spaces with Applications[J];四川师范大学学报(自然科学版);2004-04
9 LIU Xuewen(Department of Mathematics,Fuling Teachers College,Fuling 408003,China);Further Generalizations of Ky-Fan's Minimax Inequality on L-Convex Space[J];西华师范大学学报(自然科学版);2003-03
10 LIU XuewenDept. of Mathematics, Fuling Theachers College, Fuling Chongqing 408003, China;A Generalization of S-KKM-type Teorem With Applications[J];西南师范大学学报(自然科学版);2003-03
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 LUO Wei-hua;YANG Ming-qin;SONG Xin;CHENG Dan;Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science,Neijiang Normal University;;A Splitting Preconditioner for Generalized Saddle Point Problems[J];内江师范学院学报;2014-08
2 WU Zhong-an;MENG Jing;LUO Wei-hua;Department of Nursing,Department of Nurdinh,Taishan Vocational College of Nursing;School of Mathematics Sicence,University of Electronic Science and Technology of China;;A Weighted GMRES-DR Algorithm for the Linear System of Equations[J];内江师范学院学报;2014-08
3 WANG Bin(The College of Mathematics and Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China);Section Theorem and Its Applications in Topological Space[J];内江师范学院学报;2012-12
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];内江师范学院学报;2010-10
5 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];内江师范学院学报;2009-10
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