Wolfe and Mond-Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under -bonvexity/ -pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonli
Mixed second-order multiobjective symmetric duality with cone constraints
โ Scribed by N. Kailey; S.K. Gupta; D. Dangar
- Book ID
- 113823937
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 240 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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๐ SIMILAR VOLUMES
We formulate a pair of multiobjective symmetric dual programs for pseudo-invex functions and arbitrary cones. Our model is unifying the Wolfe vector symmetric dual and the Mond-Weir vector symmetric dual models. We establish the weak, strong, converse and self duality theorems for our pair of dual m
A pair of multiobjective mixed symmetric dual programs is formulated over arbitrary cones. Weak, strong, converse and self-duality theorems are proved for these programs under K -preinvexity and K -pseudoinvexity assumptions. This mixed symmetric dual formulation unifies the symmetric dual formulati
A pair of higher-order Wolfe and Mond-Weir type symmetric dual models with cone constraints are formulated and usual duality theorems are established under higher-order ฮท-invexity/ฮท-pseudoinvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also discussed. These duality