%0 Journal Article %T Gateaux可微条件下E-凸规划问题的解集刻画<br>CHARACTERIZATION OF THE SOLUTION SET OF E-CONVEX PROGRAMMING WITH GATEAUX DIFFERENTIAL %A 作者 %A 李均 %A 彭建文 %A 刘学文 %J 数学杂志 %D 2018 %X 本文研究了E-凸函数在Gateaux可微条件下Gateaux导数与E-次微分之间的关系,获得了E-凸规划问题最优解的必要条件.给出了E-凸规划问题的最优解集刻画.<br>In this paper, we study the relation between the Gateaux differential of E-convex function and the E-differential, and obtain the necessary condition for the optimal solution of E-convex programming problems. According to these two conclusions, the optimal solution set characterization of E-convex programming problem is shown %K E-凸函数 E-凸规划 Gateaux可微 解集刻画< %K br> %K E-convex function E-convex programming Gateaux differential Characterization of solution set %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180616&flag=1