Existence and uniqueness results for a class of quasi-hemivariational inequalities

被引：12

作者：

Costea, Nicusor ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 01期

关键词：

Quasi-hemivariational inequality; Clarke's generalized gradient; Set-valued mappings; Existence of solutions; Monotonicity;

D O I：

10.1016/j.jmaa.2010.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with the study of a nonstandard quasi-hemivariational inequality. Using a fixed point theorem for set-valued mappings the existence of at least one solution in bounded closed and convex subsets is established. We also provide sufficient conditions for which our inequality possesses solutions in the case of unbounded sets. Finally, the uniqueness and the stability of the solution are analyzed in a particular case. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：305 / 315

页数：11

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