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一类含参广义集值拟变分包含组的解的灵敏性分析
引用本文:李海凤,刘三阳,石超峰. 一类含参广义集值拟变分包含组的解的灵敏性分析[J]. 运筹学学报, 2006, 10(4): 31-38
作者姓名:李海凤  刘三阳  石超峰
作者单位: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
基金项目: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.

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
收稿时间:2004-03-25
修稿时间:2004-03-25

Sensitivity Analysis for a System of Parametric Generalized Set-valued Quasi-variational Inclusions
Li Haifeng,Liu Sanyang,Shi Chaofeng. Sensitivity Analysis for a System of Parametric Generalized Set-valued Quasi-variational Inclusions[J]. OR Transactions, 2006, 10(4): 31-38
Authors:Li Haifeng  Liu Sanyang  Shi Chaofeng
Abstract: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.
Keywords:Operation research   a system of parametric generalized set-valued quasi-variational inclusions   sensitivity analysis   fixed point   Hilbert space
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