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《Journal of Southwest China Normal University(Natural Science)》 2004-06
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Ky Fan Minimax Inequalities in L-Convexity Spaces and Their Application

DU Yan-mei, DENG Lei School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China  
In this paper, the authors obtain Ky Fan minimax in equatities and their equivalent formulations in Lconvex spaces and under weaker assumptions. As applications, saddle points theorem in Lconvex spaces is got.
【Fund】: 国家自然科学基金资助项目(10471113);; 教育部科学技术重点项目(02060);; 重庆市教委科学技术研究资助项目(021301;031302).
【CateGory Index】: O177.91
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【References】
Chinese Journal Full-text Database 3 Hits
1 WANG Tong~(1,2), DENG Lei~21. Dept. of Basic Courses, Chongqing Jiaotong University, Chongqing 400074, China;2. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;Generalized KKM Theorem and Minimax Theorem in G-Convex Spaces[J];Journal of Southwest China Normal University(Natural Science);2005-03
2 DENG Lei~1, DU Yan-mei~1, TANG Jing-rong~2 1. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China; 2. Elementary Education College, Chongqing Normal University, Chongqing 400700, China;The Existence Theorem of the Maximal Elements for L_s-Majorized Mappings[J];Journal of Southwest China Normal University(Natural Science);2005-04
3 MENG Li,DI Yan-mei(College of Mathematics & Physics,Zhejiang University of Technology,Hangzhou 310032,China);Generalized S-LKKM theorems in L-convex spaces and applications[J];Journal of Zhejiang University of Technology;2006-03
【Citations】
Chinese Journal Full-text Database 1 Hits
1 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
【Co-citations】
Chinese Journal Full-text Database 1 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
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 Zhang Shisheng; Kang Shikun; Yang Li;A Further Generalization of the Fan Ky's Minimax Inequality in H-Spaces[J];;1994-02
2 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
3 ZHENG Lian~(1,2),DING Xie-ping~1(1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan;2. Department of Mathematics, Fuling Normal College, Fuling 408000, Chongqing);Fixed Point Theorem with Application to System of Quasi-equilibrium Problems[J];Journal of Sichuan Normal University(Natural Science);2005-04
4 DING Xie_ping(Department of Mathematics,Sichuan Normal University, Chengdu 610066,P.R.China);Maximal Elements for G_B- Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)[J];Applied Mathematics and Mechanics;2003-06
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 LI Lin-ke,DING Xie-ping(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);Fixed Point Theorem of Set-valued Mappings with Applications to System of Generalized Vector Quasi-equilibrium Problems[J];Journal of Sichuan Normal University(Natural Science);2006-06
2 QU De-ning,FU Jun(College of Mathematics,Jilin Normal University,Siping 136000,Jilin);Maximal Element Problems for FC_B-Majorized Mappings in FC-spaces[J];Journal of Sichuan Normal University(Natural Science);2008-06
3 DU Yan-mei~(1,2),DENG Lei~2(1.Department of Mathematics,Tianjin Polytechnic University,Tianjin 300160,China)(2.Department of Mathematics,Southwest University,Chongqing 400715,China);Equilibriam Existence Theorem of Generalized Games for L_S-Majorized Mapping in L-Convex Space[J];Mathematics in Practice and Theory;2006-12
4 QU De-ning1,DING Xie-ping2,FU Jun1 1.College of Mathematics,Jilin Normal University,Siping Jilin 136000,China;2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China;Maximal Element Problems for the Family of Generalized FC_B-Majorized Mappings in Product FC-Spaces[J];Journal of Southwest University(Natural Science Edition);2009-02
5 MENG Xue,DENG LeiSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin;A Parametric Type of KKM Theorem and Its Applications[J];Journal of Southwest University(Natural Science Edition);2010-02
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 XIA Fu quan (Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan);A Generlized H S KKM Theorem and its Applications[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1999-04
2 ZHANG Hong ling (Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan);S KKM Theorems in Locally Convex Linear Topological Spaces with Applications[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1999-04
3 DUAN Ting cai\+1, HU Xiao song\+2 1.College of Basic and Technology, Southwest Agricultural University, Chongqing 400716, China 2.Southwest China Normal University Press, Chongqing 400715, China;Two Equivalent Forms and a Generalization of Ky Fan Section Theorem on HSpace[J];Journalof Southwest China Normal University(Natural Science);2002-01
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