多目标主从向量集值优化Benson真有效解的最优性条件

借助 Aubin的 Contingent切导数建立了可微多目标主从向量集值优化弱 Benson真有效元的Fritz-John型最优性条件.

The Optimality Fritz-John Conditions for Vector Top-base Optimization of Set-valued Maps

A theorem of the alternative for the generalized subconvexlike set\|valued maps is established suing the seperation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, the optimality necessary Fritz\|John conditions for a vector set\|valued map constrained optimizaton problem with the weak Benson proper efficiency is develpoed, with which the optimality conditions of a vector top\|base constrained optimization of set\|valued maps with the Benson proper efficiency are obtained.