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期刊论文
Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming
J.Math.Anal.Appl.297(2004)48-55,-0001,():
In this paper, a class of generalized convexity is introduced and a unified higher-order dual model for nondifferentiable multiobjective programs is described, where every component of the objective function contains a term involving the support function of a compact convex set.Weak duality theorems are established under generalized convexity conditions.The well-known case of the support function in the form of square root of a positive semidefinite quadratic form and other special cases can be readily derived from our results.
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