一致不变凸函数的判别准则  

Criteria of Uniformly Invex Functions

作　　者：张芳[1] 赵克全[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《吉林师范大学学报（自然科学版）》2007年第4期20-22,40,共4页Journal of Jilin Normal University:Natural Science Edition

摘　　要：在文献[1]中,作者在上半连续和下半连续的条件下,给出了一致不变凸函数的几个判别准则.本文在更弱的条件下证明了相应的结果.此外,由于在非线性规划算法中经常要求目标函数是可微的,故本文给出了可微一致不变凸函数的一个判别准则.In Ref. 1, the author presented some criteria of uniformly invex functions under the conditions of upper semicontinuity and lower semicontinuity. In tiffs note, I show that the same results can be obtained under weaker assumptions. In addition, because the differentiability of objective functions is always needed in nonlinear programming algorithms, a criterion of differentiable uni- formly invex functions is presemed.

关 键 词：不变凸集 一致凸函数 一致不变凸函数 半连续性 

分 类 号：O174.4[理学—数学]