Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces. We also use some fixed point theorems to prove the solvability of ordered variational inequality problems and their application to some order-optimiza...

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Bibliographic Details
Main Authors: Linsen Xie, Jinlu Li, Wenshan Yang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/439394
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spelling doaj-5b10eb1725bd4a34ae8ed6da7ebc18af2020-11-24T23:14:26ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/439394439394Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach LatticesLinsen Xie0Jinlu Li1Wenshan Yang2Department of Mathematics, Lishui University, Lishui, Zhejiang 323000, ChinaDepartment of Mathematics, Shawnee State University, Portsmouth Ohio 45662, USADepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321000, ChinaWe investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces. We also use some fixed point theorems to prove the solvability of ordered variational inequality problems and their application to some order-optimization problems on the Banach lattices.http://dx.doi.org/10.1155/2013/439394
collection DOAJ
language English
format Article
sources DOAJ
author Linsen Xie
Jinlu Li
Wenshan Yang
spellingShingle Linsen Xie
Jinlu Li
Wenshan Yang
Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
Journal of Applied Mathematics
author_facet Linsen Xie
Jinlu Li
Wenshan Yang
author_sort Linsen Xie
title Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
title_short Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
title_full Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
title_fullStr Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
title_full_unstemmed Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices
title_sort vector and ordered variational inequalities and applications to order-optimization problems on banach lattices
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces. We also use some fixed point theorems to prove the solvability of ordered variational inequality problems and their application to some order-optimization problems on the Banach lattices.
url http://dx.doi.org/10.1155/2013/439394
work_keys_str_mv AT linsenxie vectorandorderedvariationalinequalitiesandapplicationstoorderoptimizationproblemsonbanachlattices
AT jinluli vectorandorderedvariationalinequalitiesandapplicationstoorderoptimizationproblemsonbanachlattices
AT wenshanyang vectorandorderedvariationalinequalitiesandapplicationstoorderoptimizationproblemsonbanachlattices
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