Abstract
In this paper, a nondifferentiable multiobjective programming problem is considered where every component of objective and constraint functions contain a term involving the support function of a compact convex set. A new class of higher order (F,α,ρ,d)-type I function is introduced. Necessary optimality conditions and the duality theorems for Wolfe and unified higher order dual problems are established. Several known results can be deduced as special cases.
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Gulati, T.R., Agarwal, D. Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order (F,α,ρ,d)-type I functions. J. Appl. Math. Comput. 27, 345–364 (2008). https://doi.org/10.1007/s12190-008-0069-9
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DOI: https://doi.org/10.1007/s12190-008-0069-9