应用数学2026，Vol.39Issue(2)：444-456,13.
自反Banach空间中广义混合拟变分不等式解的存在唯一性
Existence and Uniqueness of Solutions for Generalized Mixed Quasi-variational Inequalities in Reflexive Banach Spaces
摘要
Abstract
Using on the properties of Brezis pseudomonotone set-valued mappings and bifunctions,this paper employs approximation method to explore the relationships among the generalized mixed quasi-variational inequality(GMQVI),its penalty problem,and the regularized penalty problem in reflexive Banach spaces.An existence theorem for the solutions to GMQVI is given on a weakly compact set.In the unbounded case,by constructing the coercivity condition,an existence theorem for the solutions to GMQVI is obtained.Furthermore,based on these existence results,a uniqueness theorem for the solutions to GMQVI is derived.关键词
广义混合拟变分不等式/Brezis伪单调/序列逼近方法/罚问题Key words
Generalized mixed quasi-variational inequality/Brezis pseudomonotone/Approxima-tion method/Penalty problem分类
数理科学引用本文复制引用
徐安慧,林惠玲..自反Banach空间中广义混合拟变分不等式解的存在唯一性[J].应用数学,2026,39(2):444-456,13.基金项目
福建省自然科学基金(2021J01654) （2021J01654）
