학술저널
ROBUST DUALITY FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 30, No. 1
-
2017.0231 - 40 (10 pages)
- 2
In this paper, we consider a nonsmooth multiobjective robust optimization problem with more than two locally Lipschitz objective functions and locally Lipschitz constraint functions in the face of data uncertainty. We prove a nonsmooth suffcient optimal-ity theorem for a weakly robust efficient solution of the problem. We formulate a Wolfe type dual problem for the problem, and establish duality theorems which hold between the problem and its Wolfe type dual problem.
1. Introduction and preliminaries
2. Sufficient optimality theorems
3. Duality theorems
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