Journal of Applied Analysis 14 (2008), No. 1, 131--148
Copyright Heldermann Verlag 2008
Second Order Duality in Multiobjective Programming
Izhar Ahmad
Dept. of Mathematics, Aligarh Muslim University, Aligarh -- 202 002, India
izharmaths@hotmail.com
Zakir Husain
Dept. of Mathematics, Aligarh Muslim University, Aligarh -- 202 002, India
zhusain_amu@hotmail.com
A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.
Keywords: Multiobjective programming, second order duality, efficient solution, generalized (F, alpha, rho, d)-convexity.
MSC: 90C29, 90C30, 90C46
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