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A Class of Cone Bounded Quasiconvex Mappings in Topological Vector Spaces
作者姓名:Yu-daHu  ChenLing
作者单位:[1]SchoolofMathematicsandInformationScience,WenzhouUniversity,Wenzhou325027,China&DepartmentofAppliedMathematics,ShanghaiJiaotongUniversity,Shanghai200030,China. [2]SchoolofInformation,ZhejiangUniversityofFinanceandEconomics,Hangzhou310012,China
基金项目:Supported by the National Natural Science Foundation of China (No.70071026).
摘    要:Within the context of cone-ordered topological vector spaces, this paper introduces the concepts of cone bounded point and cone bounded set for vector set. With their aid, a class of new cone quasiconvex mappings in topological vector spaces is defined, and their fundamental properties are presented. The relationships between the cone bounded quasiconvex mapping defined in this paper and cone convex mapping, and other known cone quasiconvex mapping are also discussed.

关 键 词:有界拟凸映射  拓扑向量空间  数学规划  最优控制  数理经济学
收稿时间:7 January 2003

A Class of Cone Bounded Quasiconvex Mappings in Topological Vector Spaces
Yu-daHu ChenLing.A Class of Cone Bounded Quasiconvex Mappings in Topological Vector Spaces[J].Acta Mathematicae Applicatae Sinica,2003,19(4):611-620.
Authors:Yu-da Hu  Chen Ling
Institution:(1) School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325027, China;(2) Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai, 200030, China;(3) School of Information, Zhejiang University of Finance and Economics, Hangzhou, 310012, China;(4) Present address: Department of Applied Mathematics, the Hong Kong Polytechnic University, Kowloon, Hong Kong
Abstract:Within the context of cone-ordered topological vector spaces, this paper introduces the concepts of cone bounded point and cone bounded set for vector set. With their aid, a class of new cone quasiconvex mappings in topological vector spaces is defined, and their fundamental properties are presented. The relationships between the cone bounded quasiconvex mapping defined in this paper and cone convex mapping, and other known cone quasiconvex mapping are also discussed.
Keywords:Cone convexity  cone quasiconvcxity  cone bounded quasiconvexity  cone semicontinuity
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