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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/430930 |
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| _version_ | 1832565953939898368 |
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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 |
| id | doaj-art-c73091e34d2a4b8780a5fdef32001cb3 |
| 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 |