On the Existence of Solutions and Tikhonov Regularization of Hemivariational Inequality Problems

被引：5

作者：

Tang, Guo-ji ^{[1
,2
]}

Wan, Zhongping ^{[1
]}

Wang, Xianfu ^{[3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Guangxi Univ Nationalities, Sch Sci, Guangxi 530006, Peoples R China

[3] Univ British Columbia, Dept Math, Kelowna, BC V1V 1V7, Canada

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2020年 / 48卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Hemivariational inequality; KKM mapping; Tikhonov regularization; Existence; Coercivity condition; VARIATIONAL INEQUALITY; WELL-POSEDNESS;

D O I：

10.1007/s10013-019-00362-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the existence of solution and Tikhonov regularization theory for a class of hemivariational inequalities. We give the existence of solutions for the class of hemivariational inequalities when the mappings satisfy the so-called hemivariational inequality property and a rather weak coercivity condition. The existence result allows us to deduce the Tikhonov regularization result. Our results generalize some results by He (Abstr. Appl. Anal.2012, 172061,2012) and others.

引用

页码：221 / 236

页数：16

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