局部FC-一致空间内的广义拟变分包含组及其应用(Ⅱ)(英文)  

Systems of Generalized Quasi-Variational Inclusions in Locally FC-Uniform Spaces and Applications (Ⅱ)

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2009年第6期711-722,共12页Journal of Sichuan Normal University（Natural Science）

基　　金：supported by the NSF of Sichuan Education Department of China(07ZA092,SZD0406)~~

摘　　要：应用作者在局部FC-一致空间得到的广义拟变分包含组解的存在性定理,在局部FC-一致空间内,对广义矢量拟平衡问题组、联立广义拟平衡问题组、具有广义拟变分包含组约束的数学规划和具有广义拟平衡组约束的数学规划的解得到了某些新的存在性定理.这些结果在较弱的假设下将文献中很多已知结果从局部凸拓朴矢量空间的闭凸子集改进和推广到没有凸性结构的局部FC-一致空间.This paper is a continuum of the preceding paper of author. By applying some existence theorems of solutions for the systems of generalized quasi-variational inclusions in locally FC-uniform spaces obtained in the preceding paper, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems and the system of simultaneous generalized vector quasi-equilibrium problems, mathematical program with system of generalized quasi-variational inclusions constraints and mathematical program with system of generalized qua- si-equilibrium constraints are established in locally FC-uniform spaces. These results improve and generalize many known results in literature from closed convex subsets of locally convex topological vector spaces to locally FC-uniform spaces.

关 键 词：广义拟变分包含问题组 (联立)广义矢量拟平衡问题组 具有变分包含组约束和具有拟平衡组约束的数学规划 局部FC-一致空间 

分 类 号：O177.92[理学—数学]