国家自然科学基金(2008-06)

作品数：7被引量：49H指数：4
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A New Fixed Point Theorem in Noncompact L-Convex Metric Spaces with Applications to Minimax Inequalities and Saddle Points被引量：9
《Journal of Mathematical Research and Exposition》2011年第2期330-336,共7页Kai Ting WEN 
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department (Grant No. 2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area (Grant No. 2008- 06)
In this paper,a new fixed point theorem is established in noncompact complete Lconvex metric spaces.As applications,a maximal element theorem,a minimax inequality and a saddle point theorem are obtained.
关键词：L-convex metric space fixed point maximal element minimax inequality saddle point 
L-凸度量空间中的一般拟平衡问题及其对约束多目标对策的应用(英文)被引量：3
《四川师范大学学报（自然科学版）》2011年第3期313-317,共5页文开庭 
This work was supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department(2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)~~
利用非紧完备L-凸度量空间中的一个Browder型不动点定理,建立了非紧完备L-凸度量空间中的一般拟平衡问题和拟平衡问题的平衡存在定理.作为应用,获得了非紧完备L-凸度量空间中的约束多目标对策的加权Nash平衡存在定理.
关键词：L-凸度量空间 拟平衡问题 不动点 转移紧开(闭) 
非紧L-凸度量空间中的一般拟平衡问题组(英文)被引量：7
《应用数学》2010年第4期697-701,共5页文开庭 
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department (2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)
本文建立了非紧完备L-凸度量空间中新的不动点定理.作为应用,获得了非紧完备L-凸度量空间中的一般拟平衡问题组和拟平衡问题组的平衡存在定理.
关键词：L-凸度量空间 一般拟平衡问题组 不动点 转移紧开(闭) 
A New GMλ-KKM Theorem and Its Application to Saddle Points
《Chinese Quarterly Journal of Mathematics》2010年第3期385-389,共5页WEN Kai-ting 
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department（2008072）; Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area（2008-06）
In this paper,a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces.As applications,the properties of the solution set of the variational inequality is shown and an existence theorem for sa...
关键词：λ-hyperconvex space λ-sub-admissible set noncompact measure variational inequality saddle point 
FC-空间中新的GRKKM定理及其对不动点的应用(英文)被引量：16
《数学进展》2010年第3期331-337,共7页文开庭 
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department (No.2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area(No. 2008-06)
建立了FC-空间中新的GRKKM定理.作为应用,获得了FC-空间中新的变分不等式和不动点定理.
关键词：FC-空间 弱转移紧开(闭) 变分不等式 不动点 
A New GLKKM Theorem in L-Convex Spaces with the Application to Fixed Points被引量：10
《Journal of Mathematical Research and Exposition》2009年第6期1061-1068,共8页文开庭 
the Natural Science Research Foundation of Guizhou Provincial Education Department(No.2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area (No.2008-06)
In this paper a new GLKKM theorem in L-convex spaces is established. As applications, a new variational inequality, section theorem, maximal element theorem and fixed point theorem are obtained in L-convex spaces.
关键词：L-convex space variational inequality SECTION maximal element fixed point. 
A GLKKM Type Theorem for Noncompact Complete L-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points被引量：30
《Journal of Mathematical Research and Exposition》2009年第1期19-27,共9页WEN Kai Ting 
Foundation item： the Natural Science Research Foundation of Guizhou Provincial Education Department （No. 2008072）; the Natural Science Foundation of Science and Technologe Bureau of Bijie Area （No. 2008-06）.
In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric spaces.As applications,the properties of the solution set of variational in-equalities,intersection point sets,Ky Fan secti...
关键词：L-convex metric space noncompact measure transfer compactly open （closed） 4variational inequality section maximal element fixed point. 
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