Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems
In this paper, we establish the Hölder continuity of solution mappings to parametric vector quasiequilibrium problems in metric spaces under the case that solution mappings are set-valued. Our main assumptions are weaker than those in the literature, and the results extend and improve the recent one...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier BV * North-Holland
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/37293 |
| _version_ | 1848755007239749632 |
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| author | Li, S. Chen, C. Li, X. Teo, Kok Lay |
| author_facet | Li, S. Chen, C. Li, X. Teo, Kok Lay |
| author_sort | Li, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we establish the Hölder continuity of solution mappings to parametric vector quasiequilibrium problems in metric spaces under the case that solution mappings are set-valued. Our main assumptions are weaker than those in the literature, and the results extend and improve the recent ones. Furthermore, as an application of Hölder continuity, we derive upper bounds for the distance between an approximate solution and a solution set of a vector quasiequilibrium problem with fixed parameters. |
| first_indexed | 2025-11-14T08:49:27Z |
| format | Journal Article |
| id | curtin-20.500.11937-37293 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:49:27Z |
| publishDate | 2011 |
| publisher | Elsevier BV * North-Holland |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-372932017-09-13T16:08:34Z Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems Li, S. Chen, C. Li, X. Teo, Kok Lay In this paper, we establish the Hölder continuity of solution mappings to parametric vector quasiequilibrium problems in metric spaces under the case that solution mappings are set-valued. Our main assumptions are weaker than those in the literature, and the results extend and improve the recent ones. Furthermore, as an application of Hölder continuity, we derive upper bounds for the distance between an approximate solution and a solution set of a vector quasiequilibrium problem with fixed parameters. 2011 Journal Article http://hdl.handle.net/20.500.11937/37293 10.1016/j.ejor.2010.10.005 Elsevier BV * North-Holland restricted |
| spellingShingle | Li, S. Chen, C. Li, X. Teo, Kok Lay Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title | Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title_full | Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title_fullStr | Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title_full_unstemmed | Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title_short | Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| title_sort | hölder continuity and upper estimates of solutions to vector quasiequilibrium problems |
| url | http://hdl.handle.net/20.500.11937/37293 |