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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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【References】
Chinese Journal Full-text Database 6 Hits
1 WEN Kaiting;LI Herui;School of Civil Engineering and Architecture,Guizhou College of Engineering Science;;A GFC-KKM Theorem in GFC-Spaces with the Application to Fixed Points[J];四川师范大学学报(自然科学版);2015-03
2 WEN Kaiting;School of Civil Engineering and Architecture,Bijie College;;A Fixed Point Theorems in Product FC-Metric Spaces with the Application to Generalized Constrained Multiobjective Games[J];四川师范大学学报(自然科学版);2014-06
3 WEN Kai-ting;NIE Xiang-rong;ZHANG Yun-yan;DUAN Yu;School of Civil Engineering and Architecture,Bijie University;School of Mechanical Engineering,Bijie University;School of Science,Bijie University;;Properties of Maximal Element in Product FC-Metric Spaces and the Application to Variational Inequalities[J];毕节学院学报;2014-04
4 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;An RS-KKM Theorem in FC-Metric Spaces with the Application to Coincidence Problems[J];兴义民族师范学院学报;2014-01
5 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;A Maximal Element Theorem in Product FC- Metric Spaces and the Application to Systems of Generalized Quasivariational Inclusion Problems[J];贵阳学院学报(自然科学版);2013-04
6 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;A Maximal Element Theorem in Product FC-Metric Spaces and the Application to Variational Inequalities and Sections[J];兴义民族师范学院学报;2013-04
【Citations】
Chinese Journal Full-text Database 10 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];经济数学;2012-04
2 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];西南大学学报(自然科学版);2011-10
3 Kai Ting WEN Department of Mathematics,Bijie University,Guizhou 551700,P.R.China;A New Fixed Point Theorem in Noncompact L-Convex Metric Spaces with Applications to Minimax Inequalities and Saddle Points[J];数学研究与评论;2011-02
4 WEN Kaiting(Department of Mathematics,Bijie University,Bijie 551700,China);The System of General Quasiequilibrium Problems in Noncompact L-convex Metric Spaces[J];应用数学;2010-04
5 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];应用泛函分析学报;2010-03
6 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];西南师范大学学报(自然科学版);2010-01
7 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];应用泛函分析学报;2009-01
8 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];数学研究与评论;2009-01
9 WEN Kai-ting(Department of Mathematics,Bijie University,Bijie 551700,China);A GLsKKM Theorem in Noncompact L-convex Metric Spaces with Application to Fixed Point Problems[J];应用数学;2009-01
10 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];应用泛函分析学报;2008-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WEN Kaiting;School of Civil Engineering and Architecture,Bijie College;;A Fixed Point Theorems in Product FC-Metric Spaces with the Application to Generalized Constrained Multiobjective Games[J];四川师范大学学报(自然科学版);2014-06
2 CHEN Zhiyou;XIA Shunyou;College of Mathematics and Information Science,Guiyang College;Mathematics and Computer Science College,Guizhou Normal College;;Shapley-KKM Lemma on Abstract Convex Space[J];四川师范大学学报(自然科学版);2014-03
3 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;Properties of Maximal Element Sets in Product FC-Metric Spaces and Their Application to Systems of Generalized Mixed Vector Quasiequilibrium Problems[J];西南大学学报(自然科学版);2014-04
4 WEN Kai-ting;NIE Xiang-rong;ZHANG Yun-yan;DUAN Yu;School of Civil Engineering and Architecture,Bijie University;School of Mechanical Engineering,Bijie University;School of Science,Bijie University;;Properties of Maximal Element in Product FC-Metric Spaces and the Application to Variational Inequalities[J];毕节学院学报;2014-04
5 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;An RS-KKM Theorem in FC-Metric Spaces with the Application to Coincidence Problems[J];兴义民族师范学院学报;2014-01
6 WEN Kaiting;LI Herui;College of Civil Engineering and Architecture,Bijie College;;Properties of Equilibrium Sets for General Quasi-Equilibrium Problems in FC-Metric Spaces with Application to Constrained Multi-Objective Games[J];四川师范大学学报(自然科学版);2013-06
7 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;A Maximal Element Theorem in Product FC- Metric Spaces and the Application to Systems of Generalized Quasivariational Inclusion Problems[J];贵阳学院学报(自然科学版);2013-04
8 WANG Bin;LIU Heng;School of Mathematics and Information Science,Neijiang Normal University;Neijiang Second Vocational Middle School;;Fixed Point Theorem and Supinfsup Inequalities in FC-Space Without Compactness[J];内江师范学院学报;2013-10
9 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;A New Fixed Point Theorem in FC-Metric Spaces with Applications to Variational Inequalities and Saddle Points[J];大学数学;2013-05
10 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;A Maximal Element Theorem in Product FC-Metric Spaces and the Application to Variational Inequalities and Sections[J];兴义民族师范学院学报;2013-04
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WEN Kaiting;School of Civil Engineering and Architecture,Bijie College;;A Fixed Point Theorems in Product FC-Metric Spaces with the Application to Generalized Constrained Multiobjective Games[J];四川师范大学学报(自然科学版);2014-06
2 WEN Kaiting;LI Herui;College of Civil Engineering and Architecture,Bijie College;;Properties of Equilibrium Sets for General Quasi-Equilibrium Problems in FC-Metric Spaces with Application to Constrained Multi-Objective Games[J];四川师范大学学报(自然科学版);2013-06
3 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;A Matching Theorem in FC-Spaces and Its Application to Systems of General Quasiequilibrium Problems[J];西南大学学报(自然科学版);2013-10
4 WEN Kai-ting;College of Civil Engineering and Architecture,Bijie University;;A Fixed Point Theorem in FC-Spaces with the Application to Systems of General Quasiequilibrium Problems[J];数学的实践与认识;2013-21
5 WEN Kai-ting;School of Civil Engineering and Architecture,Bijie University;;A New Fixed Point Theorem in FC-Metric Spaces with Applications to Variational Inequalities and Saddle Points[J];大学数学;2013-05
6 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;A Maximal Element Theorem in Product FC-Metric Spaces and the Application to Variational Inequalities and Sections[J];兴义民族师范学院学报;2013-04
7 WEN Kai-ting,LI He-rui Department of Civil Engineering and Architecture,Bijie University,Bijie Guizhou 551700,China;General Quasiequilibrium Problems in FC-Metric Spaces and Their Application to Constrained Multiobjective Games[J];西南大学学报(自然科学版);2013-04
8 WEN Kai-ting (School of Civil Engineering and Architecture,Bijie University,Bijie,Guizhou 551700,China);The Browder Fixed Point Theorem in GFC-Spaces and Its Applications to Coincidence Questions[J];毕节学院学报;2013-04
9 WEM Kai-ting (College of Civil Engineering and Architecture, Bijie University, Bijie 551700, China);A New Fixed Point Theorem in L-Convex Spaces with Applications[J];数学季刊;2013-01
10 WEN Kai-ting School of Civil Engineering and Architecture,Bijie University,Bijie 551700,China;A New Fixed Point Theorem in FC-Metric Spaces with the Application to Saddle Points[J];应用泛函分析学报;2013-01
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 WEN Kaiting;LI Herui;School of Civil Engineering and Architecture,Guizhou College of Engineering Science;;A GFC-KKM Theorem in GFC-Spaces with the Application to Fixed Points[J];四川师范大学学报(自然科学版);2015-03
2 WEN Kai-ting;NIE Xiang-rong;ZHANG Yun-yan;DUAN Yu;School of Civil Engineering and Architecture,Bijie University;School of Mechanical Engineering,Bijie University;School of Science,Bijie University;;Properties of Maximal Element in Product FC-Metric Spaces and the Application to Variational Inequalities[J];毕节学院学报;2014-04
3 WEN Kai-ting;XIONG Xian-ping;Bijie University;Xingyi Normal University for Nationalities;;An RS-KKM Theorem in FC-Metric Spaces with the Application to Coincidence Problems[J];兴义民族师范学院学报;2014-01
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 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];西南大学学报(自然科学版);2011-10
2 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];数学物理学报;2011-04
3 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];应用泛函分析学报;2010-03
4 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];西南师范大学学报(自然科学版);2010-01
5 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];数学研究与评论;2009-01
6 WEN Kai-ting(Department of Mathematics,Bijie University,Bijie 551700,China);A GLsKKM Theorem in Noncompact L-convex Metric Spaces with Application to Fixed Point Problems[J];应用数学;2009-01
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];应用泛函分析学报;2008-04
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];西南大学学报(自然科学版);2008-10
9 HU Feng~1 JIN Yuan-ping~2 1.Department of computer Oinghai Normal University,Xining 810008,China; 2.School of Computer Science and Engineering,Southeast University,Nanjing 211189,China;Research on the Selection of the Optimal Relaxation Factor for SOR Method[J];西南师范大学学报(自然科学版);2008-05
10 WEN Kai-ting (Department of Mathematics, Bijie University, Bijie Guizhou 551700,China);A New Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Abstract Economies[J];大学数学;2008-05
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