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《Journal of Sichuan Normal University(Natural Science)》 2004-01
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Generalized R-KKM Type Theorems in the Product of L-convexSpace with Applications

HE Rong-hua, DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan)  
In this paper, a new notion of generalized R-KKM mappings is introduced. Some generalized R-KKM type theorems for a family of generalized R-KKM mappings with finitely closed (or compactly closed) values are established in the product of L-convex spaces. As applications, a collectively fixed point theorm and a matching theorm are obtained.
【Fund】： 四川省教育厅重点科研基金资助项目
【CateGory Index】： O189.11
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【References】
Chinese Journal Full-text Database 5 Hits
1 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
2 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
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 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
5 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
【Citations】
Chinese Journal Full-text Database 2 Hits
1 DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Collectively Fixed Points and Equilibria of Generalized Games with U - Majorized Correspondences in Locally G -Convex Uniform Spaces[J];Journal of Sichuan Normal University(Natural Science);2002-06
2 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-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Tong(School of Science,Chongqing Jiaotong University,Chongqing 400074,China);G-FC-KKM Type Theorems in FC-Spaces[J];Journal of Chongqing Jiaotong University(Natural Science);2007-05
2 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
3 DING Xie ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan) Abstract:Let I be a finite or infinite index set. A new class of G F majorized correspondences from a topological space X into a generalized convex (or G convex) space (Y i,Γ i) involving a set valued mapping F∈U k c(Y,X) is introduced where Y =Π i∈I Y i is the product space of G convex spaces (Y i,Γ i). Some existence theorems of maximal elements for a family of G F majorized correspondences are first proved under noncompact setting of G convex spaces. As applications, some new equilibrium existence theorems for qualitative games and;Maximal Elements of G_F-Majorized Correspondences and Equilibria of Abstract Economies on G-Convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2003-06
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 XIA Fu-quan~1,YIN Qin~2 (1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan; 2. Department of Mathametics, Deyang Education College, Deyang 618000, Sichuan);Continuous Selection and Collectively Fixed Point Theorems[J];Journal of Sichuan Normal University(Natural Science);2004-02
6 HE Rong-hua,DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalization of Equilibrium Problem with Lower and Upper Bounds[J];Journal of Sichuan Normal University(Natural Science);2004-02
7 LI Hong-mei(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Some Coincidence Point Theorems on Abstract Convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2004-05
8 DING Xie-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Himmelberg Type Fixed Point Theorem in Locally FC-Spaces[J];Journal of Sichuan Normal University(Natural Science);2005-02
9 DING Xie-ping( College of Mathematics and Software Science , Sichuan Normal University, Chengdu610066, Sichuan);Generalized R-KKMType Theorems in Topological Spaces and Applications[J];Journal of Sichuan Normal University(Natural Science);2005-05
10 DING Xie-ping(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);Generalizations of Himmelberg Type Fixed Point Theorems in Locally FC-Spaces[J];Journal of Sichuan Normal University(Natural Science);2006-01
【Co-references】
Chinese Journal Full-text Database 10 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 LI Ke jun(Department of Mathematics,Chengdu Teachers College,Penzhou,Sichuan 611930,China);The appoximation alogrithms of a system of generalized set valued variational inclusions[J];Journal of Guizhou Normal University(Natural Science);2003-02
3 DING Xie ping [WT6BX]( Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan) [HK148mm];Generalized Games and Generalized Quasi Variational Inequalitites in Locally Convex Topological Vector Spaces[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);2000-02
4 DING Xie-ping, XIA Fu-quan (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalized Quasi-variational Inequalities in Locally Convex Topological Vector Spaces[J];Journal of Sichuan Normal University(Natural Science);2002-01
5 DENG Ru liang (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Iterative Algorithm of Solutions for a Class of Generalized Nonlinear Quasi-Variational Inequalities[J];Journal of Sichuan Normal University(Natural Science);2002-05
6 DING Xieping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Predictor-Corrector Iterative Algorithms for Solving Nonlinear Mixed Variational-like Inequalities[J];Journal of Sichuan Normal University(Natural Science);2003-01
7 DNEG Ruliang(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Iterative Algorithm of a Class of Mixed Variational-like Inequalities in Reflexive Banach Spaces[J];Journal of Sichuan Normal University(Natural Science);2003-02
8 LIU Xuewen(Department of Mathematics, Fuling Teacher's College, Fuling 408003, Chongqing);New KKM Type Theorems in H-Metric Spaces with Applications[J];Journal of Sichuan Normal University(Natural Science);2003-02
9 LI Kejun (Department of Mathematics, Chengdu Teacher's College, Chengdu 611930, Sichuan) ;Sensitivity Analysis for Nonlinear Mixed Quasi-variational Inclusions[J];Journal of Sichuan Normal University(Natural Science);2003-04
10 LI Yan,DING Xieping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Generalized S-R-KKM Type Theorems and Applications in G-convex Spaces[J];Journal of Sichuan Normal University(Natural Science);2003-05
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 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
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 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
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