The Hierarchical Minimax Inequalities for Set-Valued Mappings
We study the minimax inequalities for set-valued mappings with hierarchical process and propose two versions of minimax inequalities in topological vector spaces settings. As applications, we discuss the existent results of solutions for set equilibrium problems. Some examples are given to illustrat...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/190821 |
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| _version_ | 1832565483162828800 |
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| author | Yen-Cherng Lin Chin-Tzong Pang |
| author_facet | Yen-Cherng Lin Chin-Tzong Pang |
| author_sort | Yen-Cherng Lin |
| collection | DOAJ |
| description | We study the minimax inequalities for set-valued mappings with hierarchical process and propose two versions of minimax inequalities in topological vector spaces settings. As applications, we discuss the existent results of solutions for set equilibrium problems. Some examples are given to illustrate the established results. |
| format | Article |
| id | doaj-art-f51c49d0fead46eda1f0afdfb7b23c10 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f51c49d0fead46eda1f0afdfb7b23c102025-02-03T01:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/190821190821The Hierarchical Minimax Inequalities for Set-Valued MappingsYen-Cherng Lin0Chin-Tzong Pang1Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 40421, TaiwanDepartment of Information Management, and Innovation Center for Big Data and Digital Convergence, Yuan Ze University, Chung-Li 32003, TaiwanWe study the minimax inequalities for set-valued mappings with hierarchical process and propose two versions of minimax inequalities in topological vector spaces settings. As applications, we discuss the existent results of solutions for set equilibrium problems. Some examples are given to illustrate the established results.http://dx.doi.org/10.1155/2014/190821 |
| spellingShingle | Yen-Cherng Lin Chin-Tzong Pang The Hierarchical Minimax Inequalities for Set-Valued Mappings Abstract and Applied Analysis |
| title | The Hierarchical Minimax Inequalities for Set-Valued Mappings |
| title_full | The Hierarchical Minimax Inequalities for Set-Valued Mappings |
| title_fullStr | The Hierarchical Minimax Inequalities for Set-Valued Mappings |
| title_full_unstemmed | The Hierarchical Minimax Inequalities for Set-Valued Mappings |
| title_short | The Hierarchical Minimax Inequalities for Set-Valued Mappings |
| title_sort | hierarchical minimax inequalities for set valued mappings |
| url | http://dx.doi.org/10.1155/2014/190821 |
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