The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces
In a topological sup-semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup-semilattice, we prove that for solutions of each vector quasi-equilibrium problem, there exists a connected...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/218402 |
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| _version_ | 1832546620497985536 |
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| author | Qi-Qing Song |
| author_facet | Qi-Qing Song |
| author_sort | Qi-Qing Song |
| collection | DOAJ |
| description | In a topological sup-semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup-semilattice, we prove that for solutions of each vector quasi-equilibrium problem, there exists a connected minimal essential set which can resist the perturbation of the vector quasi-equilibrium problem. |
| format | Article |
| id | doaj-art-a779d7e22ffa41268e0a18de6f1fdff3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a779d7e22ffa41268e0a18de6f1fdff32025-02-03T06:47:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/218402218402The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order SpacesQi-Qing Song0College of Science, Guilin University of Technology, Guilin 541004, ChinaIn a topological sup-semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup-semilattice, we prove that for solutions of each vector quasi-equilibrium problem, there exists a connected minimal essential set which can resist the perturbation of the vector quasi-equilibrium problem.http://dx.doi.org/10.1155/2013/218402 |
| spellingShingle | Qi-Qing Song The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces Journal of Applied Mathematics |
| title | The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces |
| title_full | The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces |
| title_fullStr | The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces |
| title_full_unstemmed | The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces |
| title_short | The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces |
| title_sort | existence and stability of solutions for vector quasiequilibrium problems in topological order spaces |
| url | http://dx.doi.org/10.1155/2013/218402 |
| work_keys_str_mv | AT qiqingsong theexistenceandstabilityofsolutionsforvectorquasiequilibriumproblemsintopologicalorderspaces AT qiqingsong existenceandstabilityofsolutionsforvectorquasiequilibriumproblemsintopologicalorderspaces |