The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient

Yong Ming Fu · Journal of Jiangxi Normal University · 2009

The concept of the generalized gradient in sense of strong efficiency is introduced by epiderivative for a set-valued map in ordered Banach spaces.Under the condition of lower semicontinuous,its existence is proved by the separation theorem for convex sets;Thus the optimality condition of strong-efficient solution of set-valued optimization problems is established in the sense of generalized gradient.

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