Kuhn-Tucker Condition and Duality of Set-valued Optimization
Chen Zhi-xiang · Journal of Ningbo University · 2003
A generalized Kuhn-Tucker optimality condition of constrained vector optimization of set-valued maps with weak efficiency is obtained with the aid of the Contingent tangent derivatives which are developed with the help of generalized Contingent tangent cone and the epigraphy of the set-valued map, with which the weak duality theorem, direct duality theorem and the converse duality theorem for Wolfe type and Mond-Weir type duality are considered.