含参强向量均衡问题的适定性  

Well-posedness for Parametric Strong Vector Equilibrium Problems

作　　者：龚循华[1] 张程[1] 马博厂[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2010年第4期307-312,共6页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10561007);江西自然科学基金资助项目(2008GZS0072);江西省研究生创新专项资金自筹项目(YC09B004)

摘　　要：研究实Hausdorff拓扑线性空间中含参强向量均衡问题的适定性。证明了在适当条件下,由近似网定义的含参适定性等价于近似解映射的上半连续性,并给出了所研究问题两种适定性的充分性条件。It studied the well-posedness for parametric strong vector equilibrium problems in real Hausdorff topological vector spaces.It showed that under suitable conditions,the well-posedness defined by approximating solution nets is equivalent to the upper semicontinuity of the solution mapping.Further,it gave sufficient conditions to two kinds of well-posedness.

关 键 词：含参强向量均衡问题 适定性 解映射 上半连续性 

分 类 号：O317[理学—一般力学与力学基础]