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《Journal of Neijiang Normal University》 2012-08
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Inequalities on L-convex Space

WANG Bin(College of Mathematics and Information Science //Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University,Neijiang,Sichuan 641100,China)  
The concept of generalized S-KKM mapping is introduced in L-convex space.Some KKM type theorem and fixed point theorem are proved in L-convex space.As their application,some inequalities are proved.These theorems generalize some concepts and results of literature.
【Fund】: 四川省教育厅基金项目(11ZB023)
【CateGory Index】: O178
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHOU Shou-ming(College of Mathematics Science,Chongqing Normal University,Chongqing 401331,China);Studing Jensen’s Inequality form Easy to Hard in Mathematical Analysis[J];Journal of Neijiang Normal University;2013-06
2 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】
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5 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
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【Co-citations】
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1 CAO Han-wen1,JIANG Shen-ming2(1.Department of Science,Nanchang Institute of Technology,Nanchang 330099,China;2.College of Mathematics and Information Science,Nanchang University of Aeronautics,Nanchang 330063,China);R-S-KMM Type Theorems and Applications in FC-Space[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-05
2 LI Xiao-qin,LIU Yong(Mathematics Dept.,Inner Mongolia Polytechnic University,Inner Mongolia Huhehaote 010062,China);The Stability of the Set of KKM Points in G-convex-spaces[J];Journal of Langfang Teachers College;2007-03
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4 WANG Yan (College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);The Optimality Conditions for Generalized Convex Programming[J];Journal of Neijiang Normal University;2009-10
5 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
6 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];Journal of Neijiang Normal University;2012-12
7 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
8 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
9 DU Ting-song,YANG Jing-li,PENG Rui(Department of Mathematics,Science College,China Three Gorges University,Yichang 443002,Hubei);Duality Theorems for a Class of Nonconvex Vector Optimization Programming in Banach Spaces[J];Journal of Sichuan Normal University(Natural Science);2012-01
10 CHEN Fang 1,CHEN Zi-li 2(1.Department of Preparatory,Aba Teachers College,Wenchuan 623002,Sichuan;2.College of Mathematics,Southwest Jiaotong University,Chengdu 610031,Sichuan);Preregularity of Compact Operators[J];Journal of Sichuan Normal University(Natural Science);2012-06
【Co-references】
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1 Song Zhenyun(School of Information and Technology,Hubei Polytechnic Institute,Xiaogan 432000,China);Discussion on the integral-type Jensen inequality of P-convex function[J];Pure and Applied Mathematics;2012-01
2 LIU Hongyang(Sichuan Post And Telecommunication College, Chengdu 610067, China);Some Important Inequalities Could Be Deduced from Jensen Inequality[J];Journal of Chengdu University (Natural Science);2003-04
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 SONG Xiao-jun(Mathematics and Information College of China West University,Nanchong Sichuan 637002,China);Application of Convex Function to Proofs of Inequalities[J];Sichuan University of Arts and Science Journal;2010-05
5 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
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8 ZHAO Si-lin(Department of Mathematics,Neijiang Teachers College,Neijiang,Sichuan 641112,China);Proof and Inference to Two New Inequalities[J];Journal of Neijiang Teachers College;2006-04
9 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
10 CUI Xiao-bing(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China);The Jensen inequalities of different conditions in probability theory and their applications[J];Journal of Nanyang Normal University;2010-09
【Secondary Citations】
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1 Zhang Xiuzhi(Department of Mathematics and Systems Science,Nanchang University,Nanchang,330047 China);A NOTE ON THE KKM THEOREMS[J];Journal of Nanchang University(Natural Science);2000-03
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4 DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Coincidence Theorems for Two Families of Set-Valued Mappings on Product G-Convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2004-02
5 Xie Ping DING College of Mathematics and Software Science, Sichuan Normal University Chengdu 610066, P. R. China;KKM Type Theorems and Minimax Inequalities and Saddle Point Theorems in Generalized Convex Spaces[J];Acta Mathematica Sinica;2004-04
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