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《Journal of Sichuan Normal University(Natural Science)》 2009-05
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A New GMλ-KKM Theorem in Noncompact λ-Hyperconvex Spaces and Its Application to Abstract Economies

WEN Kai-ting(Department of Mathematics,Bijie University,Bijie 551700,Guizhou)  
In this paper,a new GMλ-KKM theorem in noncompact λ-hyperconvex spaces is established. As applications,a continuous selection and its fixed point theorem and a maximal element theorem are obtained. Our results improve and generalize some recent results in references therein. Finally,equilibrium existence theorems for Abstract economies and qualitative games in noncompact λ-hyperconvex spaces are yielded.
【Fund】: supported by the natural science research foundation of Guizhou provincial education department (2008072)~~
【CateGory Index】: O177.91
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【References】
Chinese Journal Full-text Database 1 Hits
1 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
【Citations】
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1 YANG Zeheng1,WU Xian2,WANG Shaorong3(1.Department of Mathematics,Dali University,Hehua Campus,Dali Yunnan 671000,China;2.Department of Mathematics,Yunnan Normal University,Kunming 650092,China;3.Department of Mathematics,Dali University,Hehua Campus,Dali Yunnan 671000,China);The Fixed Points of Commuting Nonexpansive Maps in Lambda-Hyperconvex Spaces[J];Journal of Sichuan University (Natural Science Edition);2003-04
2 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
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9 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);KKM Type Theorems and Coincidence Theorems in FC-spaces with Applications to Generalized Vector Equilibrium Problems[J];Journal of Sichuan Normal University(Natural Science);2008-01
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【Co-citations】
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1 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
2 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
3 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
4 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
5 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
6 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
7 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
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【Co-references】
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1 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
2 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
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5 WEN Kai-ting(Department of Mathematics,Bijie College,Bijie 551700,Guizhou);A GLSKKM Theorem in Noncompact Complete L-Convex Metric Spaces and Its Applications to Abstract Economies[J];Journal of Sichuan Normal University(Natural Science);2010-02
6 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
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