【摘要】 研究序列极大极小问题.得到了一阶必要条件的具体表达式,即所谓广义K-K-T方程.利用多次凝聚技巧和同伦方法,构造地证明了K-K-T方程解的存在性,同时在一定的条件下,还证明了对几乎所有的初值,同伦路径以广义K-K-T方程解为极限点.更多还原

【Abstract】 In this paper, the sequential maxmin problem is considered. At first, an explicit first order condition, called the generalized KKT condition, is given and then, by using the secondary aggregate function technique and the homotopy method, a smooth path following method is given to find a generalized KKT point.更多还原