Unbounded perturbation of an evolution hemivariational inequality

被引：0
|
作者：
Liu, Zhenhai [1 ,2 ]
Bin, Chen [3 ]
Liu, Xiake [3 ]
Timoshin, Sergey A. [4 ]
机构：
[1] Yulin Normal Univ, Sch Math & Stat, Yulin 537000, Peoples R China
[2] Guangxi Minzu Univ, Guangxi Key Lab Univ Optimizat Control & Engn Calc, Nanning 530006, Guangxi, Peoples R China
[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
[4] Xian Jiaotong Liverpool Univ, Sch Math & Phys, Suzhou 215123, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Evolution subdifferential inclusion; Unbounded perturbation; Hemivariational inequality; Truncated Lipschitz condition; SUBDIFFERENTIAL INCLUSIONS; RELAXATION; SYSTEMS; THEOREM;
D O I：
10.1016/j.nonrwa.2024.104070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a perturbed hemivariational inequality. The perturbation is a multivalued mapping the values thereof are not assumed to be convex or bounded. We prove the existence of a solution to our problem and establish a relaxation - approximation result for it through the use of a localized version of Hausdorff-Lipschitzness adapted to the unbounded case.
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页数：9
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