广义向量逆变分不等式的扰动Levitin-Polyak适定性  

Levitin-Polyak Well-posedness by Perturbations of Generalized Vector Inverse Variational Inequalities

作　　者：彭明燕 夏福全[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2015年第4期487-492,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10671135);教育部重点项目(212147)

摘　　要：首先引入了广义向量逆变分不等式,并给出了广义向量逆变分不等式的α-近似序列和LevitinPolyak-α-近似序列的概念,以及相对应的适定性的概念.然后通过广义向量逆变分不等式的扰动LevitinPolyak-α-近似解集,给出了广义向量逆变分不等式的扰动Levitin-Polyak-α-适定性的度量性质.In this paper, we first introduce the concept of generalized vector inverse variational inequalities, then consider the Well-posedness and Levitin-Polyak Well-posedness by perturbations of generalized vector inverse variational inequalities. We introduce the approximating sequence and Well-posedness for generalized vector inverse variational inequalities. We also establish some metric characterizations of Levitin-Polyak Well-posedness by perturbations.

关 键 词：广义向量逆变分不等式 扰动Levitin-Polyak-α-适定性 近似解集 

分 类 号：O176.3[理学—数学] O178[理学—基础数学]