Viscosity method for hierarchical fixed point and variational inequalities with applications  

作　　者：张石生 王雄瑞 H.W.J.LEE 陈志坚 

机构地区：[1]Department of Mathematics,Yibin University [2]Department of Applied Mathematics,The Hong Kong Polytechnic University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第2期241-250,共10页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Yibin University (No.2009Z3)

摘　　要：A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.

关 键 词：hierarchical fixed point non-expansive mapping fixed point viscosity approximation hierarchical minimization 

分 类 号：O177.91[理学—数学]