关于F线性约束优化问题解集的刻画

给出不同的具有不等式约束的F线性优化问题的最优解集的刻画.结果用梯度条件和拉格朗日乘子表示.首先我们建立了F线性优化问题的拉格朗日函数在最优解集中是常值函数.然后,利用该性质得到了一些拉格朗日乘子为基础的最优解集的刻画.

On Characterizing Solution Sets of Constrained F linear Optimization Problems

In this paper, various characterizations of optimal solution sets of F -linear optimization problems with inequality constraints are given. The results are expressed in terms of gradients and Lagrange multlipliers. We establish the Lagrangian function of F -linear optimization problems is constant function on the optimal solution sets. The property is then used to derive some Lagrange multiplier based characterizations of the solution sets.