Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Chongqing Normal University(Natural Science)》 2018-04
Add to Favorite Get Latest Update

Some Equivalent Characterizations and Its Applications of Preinvexity(Prequasi-invexity)

YANG Yuhong;School of Mathematics and Statistics,Yangtze Normal University;  
[Purposes]The purpose is to provide some equivalent characterizations of preinvexity(prequasi-invexity).[Methods]Preinvexity(prequasi-invexity)is dealed with by transforming multivariate real valued function fto single-variable functionφ.[Findings]Firstly,when condition C_1 and condition D hold,preinvexity(prequasi-invexity)of fis equivalent to convexity(quasiconvexity)ofφ.Secondly,in a similar way,equivalent characterizations of intermediate preinvexity(prequasi-invexity)are established.Finally,some applications of these results are given.[Conclusions]Preinvexity(prequasi-invexity)of fcan be transformed equivalently into convexity(quasiconvexity)ofφ.However,there are some difference inρ-preinvex(ρ-prequasi-invex)case,i.e.ρ-convexity(ρ-quasiconvexity)ofφis correspond to weakρ-preinvexity(ρ-prequasi-invexity)of f.
【Fund】: 国家自然科学基金(No.11431004);; 重庆市教委科学技术研究项目(No.KJ160013)
【CateGory Index】: O174.13
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved