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α-D-半预不变凸映射的新性质

New Properties of Strictly α-D-Semi-Preinvex Mappings
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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.
作者 李婷 LI Ting(Department of Basic,Shanxi Vocational University of Engineering Science and Technology,Taiyuan 030001,China)
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
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 vector optimization α-D-semi-preinvex mappings strictlyα-D-semi-preinvex mappings semi-strictlyα-D-semi-preinvex mappings
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