Second order mixed type duality in multiobjective programming problems
β Scribed by B. Aghezzaf
- Book ID
- 108345292
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 96 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## pair of second-order symmetric dual models for multiobJective nonlinear programmmg 1s proposed m this paper We prove the weak, strong, and converse duality theorems for the formulated second-order symmetric dual programs under mvexity condltlons
A pair of Mond-Weir type second-order symmetric dual multiobjective programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under pseudoinvexity/K -F -convexity assumptions.
The concept of mixed-type duality has been extended to the class of multiobjective variational problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are Ε½ . obtained for -convex generalized -convex functions.