α-D-半预不变凸映射的新性质  

New Properties of Strictly α-D-Semi-Preinvex Mappings

作　　者：李婷 LI Ting(Department of Basic,Shanxi Vocational University of Engineering Science and Technology,Taiyuan 030001,China)

机构地区：[1]山西工程科技职业大学基础部,山西太原030001

出　　处：《忻州师范学院学报》2023年第2期12-16,21,共6页Journal of Xinzhou Teachers University

摘　　要：首先,结合已有的α-D-半预不变凸映射和α-D-半严格半预不变凸映射的定义,提出α-D-严格半预不变凸映射;然后建立α-D-半预不变凸映射与α-D-严格半预不变凸映射、α-D-半严格半预不变凸映射之间的关系;最后,讨论α-D-半预不变凸映射在向量优化中的一个应用。Firstly,the definition of strictlyα-D-semi-preinvex mappings were given on the basis ofα-D-semipreinvex mappings and semi-strictlyα-D-semi-preinvex mappings.Secondly,the relationships amongα-D-semi-preinvex mappings,strictlyα-D-semi-preinvex mappings and semi-strictlyα-D-semi-preinvex mappings were discussed.Finally,an important application ofα-D-semi-preinvex mappings in vector optimization was discussed.

关 键 词：向量优化 α-D-半预不变凸映射 α-D-严格半预不变凸映射 α-D-半严格半预不变凸映射 

分 类 号：O221.1[理学—运筹学与控制论]