半严格预拟不变凸函数的一个充分条件  

A Sufficient Condition About Semi-strictly Prequasi-lnvex Functions

作　　者：赵克全[1] 陈哲[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：《重庆师范大学学报（自然科学版）》2006年第3期13-15,共3页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市自然科学基金

摘　　要：在文献[1]中,作者在一定条件下证明了可微的伪凸函数是拟凸函数,也是半严格拟凸函数。Yang在文献[2]中利用Mohan和Neogy在文献[3]中建立的条件C和条件D证明了可微的伪不变凸函数必关于相同的向量值函数η为预拟不变凸函数。本文利用条件C和条件D证明了可微的伪不变凸函数关于相同的η为半严格预拟不变凸函数。The author has proved that the differentiable pseudoconvex functions must be semi-strictly quasiconvex functions under certain condition in [ 1 ]. Yang has proved that the differenciable pseudoconvex functions must be prequasiinvex functions with respect to the same vector-valued function η by making use of condition C and condition D which Mohan and Neogy introduced in paper[ 3 ] and Yang introduced in paper[ 2 ]. In this paper,the author has proved that the differentiable pseudoconvex functions must be semi-striclt prequasi-invex functions with the same vector-valued function η.

关 键 词：不变凸集 伪不变凸函数 预拟不变凸函数 半严格预拟不变凸函数 

分 类 号：O221.2[理学—运筹学与控制论]