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逆拟变分不等式的扰动Levitin-Polyak适定性 被引量:1

Levitin-Polyak Wellposedness by Perturbations of Inverse Quasi-variational Inequalities
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摘要 主要研究逆拟变分不等式的扰动Levitin-Polyak适定性.首先定义逆拟变分不等式的近似序列和Levitin-Polyak近似序列,然后定义逆拟变分不等式的近似解集,利用该解集讨论并得到逆拟变分不等式的扰动Levitin-Polyak-α-适定性的度量性质. The purpose of this paper is to investigate Levitin-Polyak type well-posedness for inverse quasi-variational inequalities.We frist introduce the notion of approximating sequence and Levitin-Polyak approximating sequence of inverse quasi-variational inequalities. Then we introduce the approximating solution set of inverse quasi-variational inequalities and establish metric characterizations of Levitin-Polyak α-well-posedness by perturbations through the approximating solution set.
作者 廖梦玲 夏福全 LIAO Mengling;XIA Fuquan(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan)
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2018年第3期324-330,共7页 Journal of Sichuan Normal University(Natural Science)
基金 教育部科学技术重点项目(212147)
关键词 逆拟变分不等式 扰动Levitin-Polyak适定性 近似解集 inverse quasi-variational inequalities Levitin-Polyak wellposedness by perturbations approximating solution set
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