We define the generalized efficient solution which is more general than the weakly efficient solution for vector optimization problems, and prove the existence of the generalized efficient solution for nondifferentiable vector optimization problems by using vector variational-like inequalities for s
On the characterization of noninferior solutions of the vector optimization problem
β Scribed by Vira Chankong; Yacov Y. Haimes
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 956 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0005-1098
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π SIMILAR VOLUMES
This paper deals with the differentiable vector optimization problems in the locally convex topological vector spaces. We first establish a theorem of the alternative of the Gordan type. Finally, the optimality conditions of the Kuhnα Tucker type are obtained.
## Abstract This paper considers the classical finite linear transportation Problem (I) and two relaxations, (II) and (III), of it based on papers by Kantorovich and Rubinstein, and Kretschmer. Pseudoβmetric type conditions on the cost matrix are given under which Problems (I) and (II) have common