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《Acta Analysis Functionalis Applicata》 2013-01
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A New Fixed Point Theorem in FC-Metric Spaces with the Application to Saddle Points

WEN Kai-ting School of Civil Engineering and Architecture,Bijie University,Bijie 551700,China  
In this paper,with the help of the KKM technique,a new fixed point theorem for transfer compactly open valued mappings is established in FC-metric spaces.As applications,a maximal element theorem,an intersection theorem,a minimax inequality and a saddle point theorem are obtained in FC-metric spaces.Our results unify,improve and generalize some known results in recent references.
【Fund】: 贵州省自然科学基金([2011]2093);; 贵州省教育厅自然科学研究重点资助项目((2012)058)
【CateGory Index】: O177.91
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【Citations】
Chinese Journal Full-text Database 9 Hits
1 WEN Kai-ting,LI He-rui(School of Civil Engineering and Architecture,Bijie University,Bijie,Guizhou 551700,China);A Matching Theorem in FC-Metric Spaces with the Application to Abstract Economies[J];Journal of Quantitative Economics;2012-04
2 WEN Kai-ting (Department of Mathematics, Bijie Teacher's College, Bijie, Guizhou, 551700, P. R. China);The Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Coincidence Questions[J];Advances In Mathematics;2005-02
3 CHEN Feng-juan, SHEN Zi-fei (Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China);Continuous Selection Theorems and Coincidence Theorems on Hyperconvex Spaces[J];Advances In Mathematics;2005-05
4 WEN Kai-ting,LI He-rui Department of Architecture and Engineering,Bijie University,Bijie Guizhou 551700,China;R-KKM Theorems of Mappings with Finitely Metrically Compact-Open Values and Their Application to Fixed Points[J];Journal of Southwest University(Natural Science Edition);2011-10
5 WEN Kai-ting Department of Mathematics,Bijie University,Bijie Guizhou 551700,China;R-KKM Theorems in FC-Metric Spaces with the Application to Abstract Economies[J];Journal of Southwest China Normal University(Natural Science Edition);2010-01
6 WEN Kai-ting Department of Mathematics,Bijie University,Bijie Guizhou 551700,China;GLKKM Theorems in L-convex Metric Spaces with Application[J];Acta Analysis Functionalis Applicata;2008-02
7 WEN Kai-ting Department of Mathematics,Bijie University,Bijie Guizhou 551700,China;A New Ky Fan Matching Theorem for Transfer Open Covers with Some Applications in L-Convex Metric Spaces[J];Acta Analysis Functionalis Applicata;2008-04
8 WEN Kaiting Department of Mathematics,Bijie University,Bijie 551700,China;R-KKM Theorems in FC-Metric Spaces with Applications to Variational Inequalities and Fixed Points[J];Acta Analysis Functionalis Applicata;2010-03
9 WEN Kai-ting Department of Mathematics, Bijie University, Bijie 551700, China;The Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to the Minimax Question and the Saddle Point Question[J];Acta Analysis Functionalis Applicata;2009-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Bin1,2,GONG Xiao-bing1,2(1.Key Laboreatory of Numerical Simulation of Sichuan Province,Neijing 641112,China;2.The College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,China);KKM Type Theorems and Their Applications in Topological Space[J];Journal of Anhui Normal University(Natural Science);2011-04
2 WEN Kai-ting (Department of Mathematics,Bijie University,Bijie,Guizhou,551700,China);New GMS-KKM Theorems in Noncompct Hyperconvex Spaces And the Application to Abstract Economies[J];Journal of Bijie University;2008-04
3 WEN Kai-ting LI He-rui LONG Ya(Mathematics Department of Bijie University, Bijie,Guizhou551700, China;Department of Computer Science of Bijie University, Bijie,Guizhou551700, China);New GMS-KKM Theorems in Noncompact Hyperconvex Spaces And the Application to Abstract Economies[J];Journal of Bijie University;2009-04
4 WEN Kai-ting~1,NIE Xiang-rong~1,Zhang Yun-yan~2 (1、Department of Computer Science,Bijie University,Bijie,Guizhou551700,China; 2、Department of Mathematics,Bijie University,Bijie,Guizhou551700,China);New Fixed Point Theorems in Noncompact L-convex Metric Spaces with Application to Quasiequilibrium Problems[J];Journal of Bijie University;2009-08
5 WEN Kai-ting1,QIAN Yong-jiang2,AN Yu-cheng2,XUE Cao-kui2(1.Department of Computer Science,Bijie University,Bijie,Guizhou 551700 China;2.Department of Mathematics,Bijie University,Bijie,Guizhou 551700,China);Abstract Economies and Constrained Multiobjective Games in Noncompact L-convex Metric Spaces[J];Journal of Bijie University;2010-04
6 LI He-rui,XIA Ren-qiang,WEN Kai-ting(Department of Computer Science,Bijie University,Bijie,Guizhou 551700,China);The Browder Fixed Point Theorem in L-Convex Spaces and Applications to Abstract Economies[J];Journal of Bijie University;2010-04
7 WEN Kai-ting,LI He-rui(Department of Computer Science,Bijie University,Bijie,Guizhou 51700,China);A Maximal Element Theorem in Noncompact L-Convex Metric Spaces and the Application to Abstract Generalized Vector Equilibrium Problems[J];Journal of Bijie University;2010-08
8 WEN Kai-ting,YU Ting-zhong,Xia Ren-qiang(Department of Computer Science,Bijie University,Bijie,Guizhou 551700,China);The Property of Solution Sets of Minimax Inequalities in Noncompact Complete L-Convex Metric Spaces and Applications[J];Journal of Bijie University;2011-04
9 LI He-rui,LIU Gao-wen,WEN Kai-ting(Department of Computer Science,Bijie University,Bijie,Guizhou 551700,China);A GLSKKM Theorem in L-Convex Spaces with the Application to Fixed Points[J];Journal of Bijie University;2011-04
10 WEN Kai-ting,LI He-rui,DUAN-Yu(School of Architecture Engineering of Bijie University,Bijie,Guizhou551700,China);New Maximal Element Theorems in Noncompact FC-Metric Spaces and the Application to Coincidence Questions[J];Journal of Bijie University;2011-08
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 Shen Zifei (Dept. of Math., Zhejiang Normal University, Jinhua,Zhejiang, 3210O4, P. R. China);A Section Theorem of Ky Fan Type in Locally Convex H-Spaces and its Applications[J];ADVANCES IN MATHEMATICS;2000-01
3 WEN Kai-ting (Department of Mathematics, Bijie Teacher's College, Bijie, Guizhou, 551700, P. R. China);The Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Coincidence Questions[J];Advances In Mathematics;2005-02
4 CHEN Feng-juan, SHEN Zi-fei (Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China);Continuous Selection Theorems and Coincidence Theorems on Hyperconvex Spaces[J];Advances In Mathematics;2005-05
5 Wen Kaiting Li Herui Zen Fanpei (Department of Computer Science,Bijie University,Guizhou Bijie 551700);A Ky Fan Matching Theorem for MLC Mappings with Applications to Minimax Inequalities and Saddle Points[J];Acta Mathematica Scientia;2011-04
6 Ding Xieping Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;KKM TYPE THEOREMS AND COINCIDENCE THEOREMS ON L-CONVEX SPACES[J];数学物理学报(英文版);2002-03
7 WEN Kai Ting(Department of Mathematics,Bijie University,Guizhou 551700,China);A GLKKM Type Theorem for Noncompact Complete L-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points[J];Journal of Mathematical Research and Exposition;2009-01
8 WEI Hui,DENG LeiSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Random Vector F-Implicit Complementarity Problems and Corresponding Variational Inequality Problems[J];Journal of Southwest University(Natural Science Edition);2008-10
9 WEN Kai-ting,LI He-rui Department of Architecture and Engineering,Bijie University,Bijie Guizhou 551700,China;R-KKM Theorems of Mappings with Finitely Metrically Compact-Open Values and Their Application to Fixed Points[J];Journal of Southwest University(Natural Science Edition);2011-10
10 LIU XuewenDept. of Mathematics, Fuling Teachers College, FuLing Chongqing, 408003;Noncompact Versious of the KKM Principle in CompleteH-Metric Space and Some of its Applications[J];Journal of Southwest China Normal University(Natural Science);2003-02
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