带变动偏序结构的集优化问题的适定性  

Well-posedness for set optimization problems with variable ordering structures

作　　者：熊佳琪 王三华[1] 李秋英[2] Xiong Jiaqi;Wang Sanhua;Li Qiuying(Department of Mathematics,Nanchang University,Nanchang 330031,China;College of Science and Technology,Nanchang University,Jiujiang 332020,China)

机构地区：[1]南昌大学数学系,江西南昌330031 [2]南昌大学科学技术学院,江西共青城332020

出　　处：《南昌大学学报（理科版）》2021年第6期525-532,共8页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11661055,11801257,71971102);江西省自然科学基金资助项目(20212BAB201028);江西省教育厅科学技术研究项目(208708)。

摘　　要：针对带变动偏序结构的集优化问题,引入了LP适定性及广义LP适定性概念,进一步给出了其LP适定性及广义LP适定性的充分条件与刻画,发展了固定偏序结构下的相关成果。In this article,concepts of Levitin-Polyak well-posedness and Levitin-Polyak well-posedness in the generalized sense are rstly proposed for set optimization problems with variable ordering structures.Then,sufficient conditions and characterizations are given for Levitin-Polyak well-posedness and Levitin-Polyak well-posedness in the generalized sense for the problems.These results develop some relevant researches with xed ordering structures.

关 键 词：集优化问题 适定性 变动偏序结构 变动序关系 无限上连续性 

分 类 号：O221.6[理学—运筹学与控制论]