{"title":"Characterizations and Applications of Quasi A-Preinvex Functions","authors":"Wang Haiying, Fu Zu-feng","doi":"10.1109/IHMSC.2015.161","DOIUrl":null,"url":null,"abstract":"In this paper, one important type of generalized convex functions termed as strongly quasi α-preinvex functions is studied. The relationships among strongly quasi α-preinvex functions, quasi α-preinvex functions, strictly quasi α-preinvex functions and semi strictly quasi α-preinvex functions have been discussed. Three important theorems of properties have been obtained for it on the middle point strongly quasi α-preinvexity. Finally, strongly quasi α-preinvex functions are used in the study of optimization problems.","PeriodicalId":6592,"journal":{"name":"2015 7th International Conference on Intelligent Human-Machine Systems and Cybernetics","volume":"3 1","pages":"345-348"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 7th International Conference on Intelligent Human-Machine Systems and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IHMSC.2015.161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, one important type of generalized convex functions termed as strongly quasi α-preinvex functions is studied. The relationships among strongly quasi α-preinvex functions, quasi α-preinvex functions, strictly quasi α-preinvex functions and semi strictly quasi α-preinvex functions have been discussed. Three important theorems of properties have been obtained for it on the middle point strongly quasi α-preinvexity. Finally, strongly quasi α-preinvex functions are used in the study of optimization problems.