A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems
We consider the parametric weak vector equilibrium problem. By using a weaker assumption of Peng and Chang (2014), the sufficient conditions for continuity of the solution mappings to a parametric weak vector equilibrium problem are established. Examples are provided to illustrate the essentialness...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/503091 |
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| author | Pakkapon Preechasilp Rabian Wangkeeree |
| author_facet | Pakkapon Preechasilp Rabian Wangkeeree |
| author_sort | Pakkapon Preechasilp |
| collection | DOAJ |
| description | We consider the parametric weak vector equilibrium problem. By using a weaker assumption of Peng and Chang (2014), the sufficient conditions for continuity of the solution mappings to a parametric weak vector equilibrium problem are established. Examples are provided to illustrate the essentialness of imposed assumptions. As advantages of the results, we derive the continuity of solution mappings for vector optimization problems. |
| format | Article |
| id | doaj-art-9d0a62d35cc242f9918b9e1de51ea1ab |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9d0a62d35cc242f9918b9e1de51ea1ab2025-08-20T02:20:18ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/503091503091A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium ProblemsPakkapon Preechasilp0Rabian Wangkeeree1Program in Mathematics, Faculty of Education, Pibulsongkram Rajabhat University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe consider the parametric weak vector equilibrium problem. By using a weaker assumption of Peng and Chang (2014), the sufficient conditions for continuity of the solution mappings to a parametric weak vector equilibrium problem are established. Examples are provided to illustrate the essentialness of imposed assumptions. As advantages of the results, we derive the continuity of solution mappings for vector optimization problems.http://dx.doi.org/10.1155/2015/503091 |
| spellingShingle | Pakkapon Preechasilp Rabian Wangkeeree A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems Abstract and Applied Analysis |
| title | A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems |
| title_full | A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems |
| title_fullStr | A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems |
| title_full_unstemmed | A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems |
| title_short | A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems |
| title_sort | note on continuity of solution set for parametric weak vector equilibrium problems |
| url | http://dx.doi.org/10.1155/2015/503091 |
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