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

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.