Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| |
| Authors: | S J Li X K Sun H M Liu S F Yao K L Teo |
| |
| Institution: | 1. College of Mathematics and Science , Chongqing University , Chongqing, P. R. China lisj@cqu.edu.cn;3. College of Mathematics and Science , Chongqing University , Chongqing, P. R. China;4. Department of Mathematics and Statistics , Curtin University of Technology , Perth, Western Australia, Australia |
| |
| Abstract: | In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed. |
| |
| Keywords: | Conjugate duality Inclusion relation Set-valued vector optimization Stability criteria Strong duality Supremum |
|
|
