广义弧式连通凸锥优化问题的最优性条件及对偶问题

Optimality Conditions and Duality in Optimization with Generalized Arcwise Connectivity Over Convex Cones

给出了弧式连通凸锥优化问题的强有效解和Benson真有效解的最优性条件,讨论了目标函数和约束函数均为广义弧式连通凸锥函数优化问题的近似有效解的最优性条件,给出了相应的近似Mond-Weir型对偶模型,给出了弱对偶和逆对偶定理.

In this paper optimality conditions on strong efficient solution and Benson proper efficient solution in optimization with arcwise connectivity over cones was given.we have discuss the optimality conditions on approximate solution in optimization which both object function and constraint function are generalized arcwise connectivity convex cones.An approximate Mond-Weir Type dual problem is formulated,Weak duality and converse duality theorems are established.