A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces

A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditio...

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Main Authors: Wei Li, Xing Wang, Nan-Jing Huang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/918796
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author Wei Li
Xing Wang
Nan-Jing Huang
author_facet Wei Li
Xing Wang
Nan-Jing Huang
author_sort Wei Li
collection DOAJ
description A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditions. Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.
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publishDate 2014-01-01
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series Journal of Function Spaces
spelling doaj-art-f3db46c0a96d4467b5dcd45f7e5367602025-08-20T02:21:43ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/918796918796A System of Differential Set-Valued Variational Inequalities in Finite Dimensional SpacesWei Li0Xing Wang1Nan-Jing Huang2Department of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, ChinaA system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditions. Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.http://dx.doi.org/10.1155/2014/918796
spellingShingle Wei Li
Xing Wang
Nan-Jing Huang
A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
Journal of Function Spaces
title A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
title_full A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
title_fullStr A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
title_full_unstemmed A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
title_short A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
title_sort system of differential set valued variational inequalities in finite dimensional spaces
url http://dx.doi.org/10.1155/2014/918796
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