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
Second-order symmetric duality with cone constraints
β Scribed by T.R. Gulati; S.K. Gupta; I. Ahmad
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 148 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
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 nonlinear programming problems involving -bonvex functions, European J. Oper. Res. 104 (1998) 615-621].
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