广义f-投影算子的稳定性及其应用  

On the Stability of Generalized f-Projection Operators with an Application

作　　者：李曦[1] 黄南京[1] 邹云志[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《数学学报（中文版）》2011年第5期811-822,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金重点项目(70831005);国家自然科学基金资助项目(10671135)

摘　　要：在Banach空间中,本文研究广义f-投影算子关于集合扰动的稳定性.作为应用,本文在Banach空间中运用广义f-投影算子解决了一类广义变分不等式问题.In this paper, the stability of generalized f-projection operators with a perturbation of the set is studied in Banach spaces. As an application, a perturbed iterative algorithm involving the generalized f-projection operator for solving a class of generalized variational inequality problem in Banach spaces is constructed.

关 键 词：广义f-投影算子 凸性模 广义变分不等式 

分 类 号：O224[理学—运筹学与控制论]