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ON CHARACTERIZATIONS OF D-η-PROPERLY PREQUASI-INVEX FUNCTION
作者姓名:Huixian  WU  Hezhi  LUO
作者单位:[1]College of science, Hangzhou Dianzi University, Hangzhou 310018, China [2]Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310032, China
基金项目:The research was partially supported by the National Natural Science Foundation of China under Grants No 60473097 and 70671064.
摘    要:Recently, various concepts of D-η-properly prequasi-invex functions were introduced and characterizations of D-η-properly prequasi-invex functions were presented under a certain set of conditions. In this paper, we show that the same results can be obtained under weaker assumptions.

关 键 词:函数  η  数学分析  假设条件
收稿时间:2005-02-02
修稿时间:2006-11-13

On Characterizations of <Emphasis Type="Italic">D-η</Emphasis>-Properly Prequasi-Invex Function
Huixian WU Hezhi LUO.On Characterizations of D-η-Properly Prequasi-Invex Function[J].Journal of Systems Science and Complexity,2007,20(4):614-622.
Authors:Huixian Wu  Hezhi Luo
Institution:(1) College of science, Hangzhou Dianzi University, Hangzhou, 310018, China;(2) Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310032, China
Abstract:Recently, various concepts of D-η-properly prequasi-invex functions were introduced and characterizations of D-η-properly prequasi-invex functions were presented under a certain set of conditions. In this paper, we show that the same results can be obtained under weaker assumptions. The research was partially supported by the National Natural Science Foundation of China under Grants No. 60473097 and 70671064.
Keywords:D-η  -properly prequasi-invex functions            D-η  -properly semistrictly prequasi-invex functions            D-η  -properly strictly prequasi-invex functions  upper D-semicontinuity
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