Generalized minimax inequalities for set-valued mappings
In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employi...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Academic Press
2003
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| Online Access: | http://hdl.handle.net/20.500.11937/33891 |
| _version_ | 1848754072311562240 |
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| author | Li, S. Chen, G. Teo, Kok Lay Yang, X. |
| author_facet | Li, S. Chen, G. Teo, Kok Lay Yang, X. |
| author_sort | Li, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. |
| first_indexed | 2025-11-14T08:34:36Z |
| format | Journal Article |
| id | curtin-20.500.11937-33891 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:34:36Z |
| publishDate | 2003 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-338912017-09-13T15:55:20Z Generalized minimax inequalities for set-valued mappings Li, S. Chen, G. Teo, Kok Lay Yang, X. In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. 2003 Journal Article http://hdl.handle.net/20.500.11937/33891 10.1016/S0022-247X(03)00197-5 Academic Press fulltext |
| spellingShingle | Li, S. Chen, G. Teo, Kok Lay Yang, X. Generalized minimax inequalities for set-valued mappings |
| title | Generalized minimax inequalities for set-valued mappings |
| title_full | Generalized minimax inequalities for set-valued mappings |
| title_fullStr | Generalized minimax inequalities for set-valued mappings |
| title_full_unstemmed | Generalized minimax inequalities for set-valued mappings |
| title_short | Generalized minimax inequalities for set-valued mappings |
| title_sort | generalized minimax inequalities for set-valued mappings |
| url | http://hdl.handle.net/20.500.11937/33891 |