Generalized minimax inequalities for set-valued mappings
| dc.contributor.author | Li, S. | |
| dc.contributor.author | Chen, G. | |
| dc.contributor.author | Teo, Kok Lay | |
| dc.contributor.author | Yang, X. | |
| dc.date.accessioned | 2017-01-30T13:40:00Z | |
| dc.date.available | 2017-01-30T13:40:00Z | |
| dc.date.created | 2010-04-14T20:02:42Z | |
| dc.date.issued | 2003 | |
| dc.identifier.citation | Li, S., and Chen, G., and Teo, K., and Yang, X. 2003. Generalized minimax inequalities for set-valued mappings. Journal of Mathematical Analysis and Applications. 281 (2): pp. 707-723. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/33891 | |
| dc.identifier.doi | 10.1016/S0022-247X(03)00197-5 | |
| dc.description.abstract |
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. | |
| dc.publisher | Academic Press | |
| dc.title | Generalized minimax inequalities for set-valued mappings | |
| dc.type | Journal Article | |
| dcterms.source.volume | 281 | |
| dcterms.source.startPage | 707 | |
| dcterms.source.endPage | 723 | |
| dcterms.source.issn | 10960813 | |
| dcterms.source.title | J. Math. Anal. Appl. | |
| curtin.note |
Copyright © 2003 Elsevier B.V. All rights reserved | |
| curtin.accessStatus | Open access | |
| curtin.faculty | School of Science and Computing | |
| curtin.faculty | Department of Mathematics and Statistics | |
| curtin.faculty | Faculty of Science and Engineering |