局部FC-一致空间内具有联立广义矢量拟平衡组约束的数学规划(英文)  

Mathematical Programs with System of Simultaneous Generalized Vector Quasi-Equilibrium Constraints in Locally FC-uniform Spaces

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,成都610066

出　　处：《应用泛函分析学报》2010年第4期289-304,共16页Acta Analysis Functionalis Applicata

基　　金：Supported by the Scientific Research Fun of Sichuan Normal University(09ZDL04);the Sichuan Province Leading Academic Discipline Project(SZD0406)

摘　　要：在局部FC-一致空间内引入和研究了某些新的联立广义矢量拟平衡问题组和具有联立广义矢量拟平衡组约束的数学规划.应用作者在局部FC-一致空间得到的Himmelberg型不动点定理,首先在局部FC-一致空间内对联立广义矢量拟平衡问题组的解证明了某些新的存在性定理.作为应用,对具有联立广义矢量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.In this paper, some new systems of simultaneous generalized vector quasi-equilibrium problems and mathematical programming with system of simultaneous generalized vector quasiequilibrium constraints are introduced and studied in locally FC-uniform spaces. By using a Him- melberg type fixed point theorem in locally FC-uniform spaces due to author, some new existence theorems of solutions for the systems of simultaneous generalized vector quasi-equilibrium problems are first proved in locally FC-uniform spaces. As applications, some existence theorem of solutions for the mathematical programming with system of simultaneous generalized vector quasi-equilibrium constraints are established in locally FC-uniform spaces.

关 键 词：不动点 联立广义矢量拟平衡问题组 具有联立广义矢量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]