On the well-posedness of differential quasi-variational-hemivariational inequalities-Reference-Cited by-同舟云学术

On the well-posedness of differential quasi-variational-hemivariational inequalities

Published:2020-01-01 Issue:1 Volume:18 Page:540-551
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Cen Jinxia¹²,Min Chao³,Nguyen Van Thien⁴,Tang Guo-ji¹

Affiliation:

1. Department of Mathematics and Physics, Guangxi University for Nationalities , Nanning 530006 , Guangxi Province , P. R. China

2. Department of Mathematics, Southwest Petroleum University , Chengdu 610500 , P. R. China

3. Department of Mathematics, Southwest Petroleum University , Chengdu , Sichuan 610500 , P. R. China

4. Department of Mathematics, FPT University, Education Zone , Hoa Lac High Tech Park, Km29 Thang Long Highway, Thach That Ward , Hanoi , Vietnam

Abstract

Abstract The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces. Employing these concepts, we explore the essential relation between metric characterizations and the well-posedness of DQHVI. Moreover, the compactness of the set of solutions for DQHVI is delivered, when problem DQHVI is well-posed in the generalized sense.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0028/pdf

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