不变凸映射的向量优化问题的强解  

Strong solutions to the vector optimization problems with invex mappings

作　　者：张毅[1] 王三华[2] 傅俊义[2] 

机构地区：[1]南昌大学后勤保障部,江西南昌330047 [2]南昌大学数学系,江西南昌330047

出　　处：《南昌大学学报（理科版）》2015年第5期411-414,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11201216);江西省自然科学基金(20151BAB201020);中国博士后科学基金(2015M582047)

摘　　要：在无限维赋范线性空间中,研究具有不变凸映射的向量似变分不等式问题与向量优化问题,讨论两类问题的强解之间的等价关系,利用著名的Fan-KKM定理,得到向量似变分不等式问题的强解,从而得到向量优化问题强解的存在定理。In this study,vector variational-like inequality problem and vector optimization problem with invex mappings in infinite dimensional normed linear spaces were investigated.The equivalent relationship between strong solutions to two problems were discussed.Moreover,by using the well-known Fan-KKM theorem,the existence theorems of strong solutions for two problems were obtained.

关 键 词：向量优化问题 向量似变分不等式 不变凸映射 强解 

分 类 号：O317[理学—一般力学与力学基础]