Super efficiency in convex vector optimization
β Scribed by J. M. Borwein; D. M. Zhuang
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 344 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0340-9422
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π SIMILAR VOLUMES
In this paper, we present necessary and sufficient conditions of efficiency and weak efficiency under generalized cone-convexity and cone-subconvexity. The results are stated in partially ordered real linear spaces from a separation theorem between convex cones which need not be solid.
The notion of strict minimum of order m for real optimization problems is extended to vector optimization. Its properties and characterization are studied in Ε½ . the case of finite-dimensional spaces multiobjective problems . Also the notion of super-strict efficiency is introduced for multiobjectiv