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
Multiobjective symmetric duality with cone constraints
β Scribed by Do Sang Kim; Ye Boon Yun; Won Jung Lee
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 447 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0377-2217
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β¦ Synopsis
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 models. Nanda and Das' results (Optimization 28 (1994) 267; Eur. J. Oper. Res. 88 (1996) 572) are obtained as special cases.
π SIMILAR VOLUMES
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 Ξ·-invexity/Ξ·-pseudoinvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also discussed. These duality
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
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.
We formulate a pair of multiobjective nonlinear symmetric dual variational problems. For the single objective problems our problems become the symmetric Ε½ . dual pair of I. Smart and B.