Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
Sichen Li, Xiangkai Sun, H. M. Liu, Songquan Yao, Kok Lay Teo · Numerical Functional Analysis and Optimization · 2010
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.