Generalized Gradients of Set-valued Maps and Globally Proper Efficient Solutions

Guolin Yu · Mathematica Applicata · 2007

The concepts of the generalized gradients and subdifferential in sense of globally proper efficiency are introduced by epiderivative for a set-valued mapping.The condition of existence for globally proper subdifferential is established.The optimality condition for globally efficient solutions of vector set-valued optimization is obtained by the subdifferential in terms of globally proper efficiency.

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