On System of Generalized Vector Quasiequilibrium Problems with Applications

We introduce a new system of generalized vector quasiequilibrium problems which includes system of vector quasiequilibrium problems, system of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this syste...

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Main Authors: Jian-Wen Peng, Lun Wan
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/430930
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author Jian-Wen Peng
Lun Wan
author_facet Jian-Wen Peng
Lun Wan
author_sort Jian-Wen Peng
collection DOAJ
description We introduce a new system of generalized vector quasiequilibrium problems which includes system of vector quasiequilibrium problems, system of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of generalized quasi-equilibrium problems and the generalized Debreu-type equilibrium problem for both vector-valued functions and scalar-valued functions.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-c73091e34d2a4b8780a5fdef32001cb32025-02-03T01:05:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/430930430930On System of Generalized Vector Quasiequilibrium Problems with ApplicationsJian-Wen Peng0Lun Wan1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, ChinaScientific Research Office, Chongqing Normal University, Chongqing 400047, ChinaWe introduce a new system of generalized vector quasiequilibrium problems which includes system of vector quasiequilibrium problems, system of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of generalized quasi-equilibrium problems and the generalized Debreu-type equilibrium problem for both vector-valued functions and scalar-valued functions.http://dx.doi.org/10.1155/2009/430930
spellingShingle Jian-Wen Peng
Lun Wan
On System of Generalized Vector Quasiequilibrium Problems with Applications
International Journal of Mathematics and Mathematical Sciences
title On System of Generalized Vector Quasiequilibrium Problems with Applications
title_full On System of Generalized Vector Quasiequilibrium Problems with Applications
title_fullStr On System of Generalized Vector Quasiequilibrium Problems with Applications
title_full_unstemmed On System of Generalized Vector Quasiequilibrium Problems with Applications
title_short On System of Generalized Vector Quasiequilibrium Problems with Applications
title_sort on system of generalized vector quasiequilibrium problems with applications
url http://dx.doi.org/10.1155/2009/430930
work_keys_str_mv AT jianwenpeng onsystemofgeneralizedvectorquasiequilibriumproblemswithapplications
AT lunwan onsystemofgeneralizedvectorquasiequilibriumproblemswithapplications