A class of elliptic quasi-variational-hemivariational inequalities with applications

被引：8

作者：

Migorski, Stanislaw ^{[1
,2
]}

Yao, Jen-Chih ^{[3
]}

Zeng, Shengda ^{[4
,5
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

[2] Jagiellonian Univ Krakow, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

[3] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[4] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Guangxi, Peoples R China

[5] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 421卷

基金：

欧盟地平线“2020”;

关键词：

Variational-hemivariational inequality; Variational inequality; Clarke subgradient; Mosco convergence; Fixed point; CONVEX-SETS;

D O I：

10.1016/j.cam.2022.114871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a class of quasi-variational-hemivariational inequalities in reflexive Banach spaces. The inequalities contain a convex potential, a locally Lipschitz superpotential, and a solution-dependent set of constraints. Solution existence and compactness of the solution set to the inequality problem are established based on the Kakutani-Ky Fan-Glicksberg fixed point theorem. Two examples of the interior and boundary semipermeability models illustrate the applicability of our results.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：15

共 43 条

[1] Directional differentiability for elliptic quasi-variational inequalities of obstacle type [J].