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《Journal of Neijiang Normal University》 2013-08
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A Generalization of KKM-type Theorem with Their Applications in Topological Space

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)  
By introduction of some R-SKKM mappings to the non-compact subsets in FC-spaces,the R-SKKM type theorem is established for generalized R-SKKM mappings concerning the compactly closed value and transferred compact closed value.As its applications,some maxmin inequality and saddle point theorems are obtained in FC-spaces.
【Fund】: 四川省教育厅科研基金资助(11ZB023)
【CateGory Index】: O189.11
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 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
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
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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];Acta Analysis Functionalis Applicata;2008-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Lei,DING Xie-ping(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);Generalized R-KKM Type Theorems in Topological Spaces and Applications[J];Journal of Sichuan Normal University(Natural Science);2006-04
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 LIU Xiao-lan1,ZHOU Mi2,HE Yi-ran3(1.Department of Mathematics,Sichuan College of Science and Engineering,Zigong 643000,Sichuan; 2.Faculty of Technology,Sanya College,Hainan University,Sanya 572000,Hainan;3.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Fenchel-Lagrange Dual of Generalized Convex Optimization Problem[J];Journal of Sichuan Normal University(Natural Science);2008-01
6 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
7 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
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10 DU Yan-mei, DENG Lei School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;Ky Fan Minimax Inequalities in L-Convexity Spaces and Their Application[J];Journal of Southwest China Normal University(Natural Science);2004-06
【Secondary Citations】
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9 ZHANG Qing-bang~(1,2),DING Xie-ping~2(1.College of Applied Sciences,Beijing University of Technology,Beijing 100022; 2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The System of Coincidence Theorems and the System of Minimax Theorems in G-convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2006-02
10 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
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