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
Higher-order symmetric duality with cone constraints
โ Scribed by T.R. Gulati; S.K. Gupta
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 430 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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 relations also remove certain inconsistencies in some of the earlier results.
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 Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K -F -convexity assumptions. Our results generalize several known results in the literature.
We introduce the nondifferentiable multiobjective problem involving cone constraints, where every component of the objective function contains a term involving the support function of a compact convex set. For this problem, Wolfe and Mond-Weir type duals are proposed. We establish weak, strong duali
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