一类含参广义集值拟变分包含组的解的灵敏性分析(英文)  

Sensitivity Analysis for a System of Parametric Generalized Set-valued Quasi-variational Inclusions

作　　者：李海凤[1] 刘三阳[2] 石超峰[2] 

机构地区：[1]华北水利水电学院数学系,郑州450011 [2]西安电子科技大学应用数学系,西安710071

出　　处：《运筹学学报》2006年第4期31-38,共8页Operations Research Transactions

基　　金：This project was supported by the National Natural Foundation of Shanxi provience.

摘　　要：本文引入了一类新的含参广义集值拟变分包含组,应用隐预解算子技巧,建立了该类变分包含组与一类不动点问题的等价性,在适当的条件下,分析了含参广义集值拟变分包含组的解的灵敏性,所得结果推广改进了最新文献中的许多结果．In this paper, we introduce and study a new class of system of parametric generalizd set-valued quasi-variational inclusions and establish its equivalence with a class of fixed point problems by using the implicit resolvent operator technique. Under suitable conditions, we establish the sensitivity analysis for the solutions of the system of parametric generalized set-valued quasi-variational inclusions. Our results extend, improve and unify many known results in recent literatures.

关 键 词：运筹学 含参广义集值拟变分包含组 灵敏性分析 不动点 HILBERT空间 

分 类 号：O177.91[理学—数学]