In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled.
Pseudoinvexity, optimality conditions and efficiency in multiobjective problems; duality
✍ Scribed by M. Arana-Jiménez; A. Rufián-Lizana; R. Osuna-Gómez; G. Ruiz-Garzón
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 325 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We extend the concepts of B-type I and generalized B-type I functions to the continuous case and we use these concepts to establish sufficient optimality conditions and duality results for multiobjective variational programming problems.
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