Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets

被引：9
|
作者：
Xiao, Yi-bin [1 ]
Liu, Mou-tao [1 ]
Chen, Tao [2 ]
Huang, Nan-jing [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2022年 / 65卷 / 07期
基金：
中国国家自然科学基金;
关键词：
evolutionary variational-hemivariational inequality; L-pseudomonotone; duality mapping; Mosco convergence; smallness condition; REGULARIZATION;
D O I：
10.1007/s11425-020-1838-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide the stability analysis for an evolutionary variational-hemivariational inequality in the reflexive Banach space, whose data including the constraint set are perturbed. First, by using its perturbed data and the duality mapping, the perturbed and regularized problems for the evolutionary variational-hemivariational inequality are constructed, respectively. Then, by proving the unique solvability for the evolutionary variational-hemivariational inequality and its perturbed and regularized problems, we obtain two sequences called approximating sequences of the solution to the evolutionary variational-hemivariational inequality, and prove their strong convergence to the unique solution to the evolutionary variational-hemivariational inequality under different mild conditions.
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页码：1469 / 1484
页数：16
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