A system of generalized variational-hemivariational inequalities with set-valued mappings
type: Item
instance of: scholarly article
title: A system of generalized variational-hemivariational inequalities with set-valued mappings
zbMATH Open document ID: 1397.49022
DOI: 10.1155/2013/305068
author: Zhi-bin Liu
author: Jian-Hong Gou
author: Yibin Xiao
author: Xuesong Li
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational inequalities studied in recent literatures, is solvable. As an application, we prove an existence theorem of solutions for a system of generalized variational-hemivariational inequalities involving integrals of Clarke's generalized directional derivatives.
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 6950605
Wikidata QID: Q59005260
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/305068
OpenAlex ID: W1986490583
description: scientific article; zbMATH DE number 6950605