EXISTENCE OF SOLUTIONS TO A NEW CLASS OF COUPLED VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

被引：2

作者：

Bai, Y. U. N. R. U. ^{[1
]}

Migorski, Stanislaw ^{[1
,2
,3
]}

Nguyen, Van Thien ^{[4
]}

Peng, J. I. A. N. W. E. N. ^{[5
]}

机构：

[1] Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Peoples R China

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

[3] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, Krakow, Poland

[4] FPT Univ, Dept Math, Hanoi, Vietnam

[5] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2022年 / 6卷 / 05期

关键词：

Clarke subgradient; Coupled variational-hemivariational inequalities; Nonemptiness and compactness; Tychonoff fixed point theorem;

D O I：

10.23952/jnva.6.2022.5.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to introduce and study a complicated nonlinear system, called coupled variational-hemivariational inequalities, which is described by a highly nonlinear coupled sys-tem of inequalities on Banach spaces. We establish the nonemptiness and compactness of the solution set to the system. We apply a new proof based on a multivalued version of the Tychonoff fixed point principle in a Banach space combined with the generalized monotonicity arguments, and the elements of the nonsmooth analysis. Our results improve and generalize some earlier theorems obtained for a particular form of the system.

引用

页码：499 / 516

页数：18

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