Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the s...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/108357 |
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| author | Wei-bing Zhang Nan-jing Huang Donal O’Regan |
| author_facet | Wei-bing Zhang Nan-jing Huang Donal O’Regan |
| author_sort | Wei-bing Zhang |
| collection | DOAJ |
| description | We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem. |
| format | Article |
| id | doaj-art-46cf78963a8f4e538ec1368c1b8832dd |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-46cf78963a8f4e538ec1368c1b8832dd2025-08-20T02:37:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/108357108357Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium ProblemsWei-bing Zhang0Nan-jing Huang1Donal O’Regan2Department of Mathematics, Sichuan University, Chengdu 610064, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandWe introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.http://dx.doi.org/10.1155/2015/108357 |
| spellingShingle | Wei-bing Zhang Nan-jing Huang Donal O’Regan Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems Journal of Applied Mathematics |
| title | Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems |
| title_full | Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems |
| title_fullStr | Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems |
| title_full_unstemmed | Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems |
| title_short | Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems |
| title_sort | generalized well posedness for symmetric vector quasi equilibrium problems |
| url | http://dx.doi.org/10.1155/2015/108357 |
| work_keys_str_mv | AT weibingzhang generalizedwellposednessforsymmetricvectorquasiequilibriumproblems AT nanjinghuang generalizedwellposednessforsymmetricvectorquasiequilibriumproblems AT donaloregan generalizedwellposednessforsymmetricvectorquasiequilibriumproblems |