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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |