关于广义型Ⅰ一致凸函数的向量优化问题的最优性条件与对偶  

Optimality and duality for vector optimization under generalized Type-I univexity

作　　者：罗章涛[1] 陈晓东[1] 全靖[2] 

机构地区：[1]重庆文理学院数学与统计学院,永川402160 [2]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《四川大学学报（自然科学版）》2009年第4期893-896,共4页Journal of Sichuan University(Natural Science Edition)

基　　金：重庆文理学院校内科研项目(Y2008SJ34)

摘　　要：作者在Banach空间中引入广义型Ⅰ一致凸函数的概念,推广了型Ⅰ函数,拟型Ⅰ函数,也将广义型Ⅰ一致凸函数推广到不可微的情形,然后考虑了在Banach空间中关于广义型Ⅰ一致凸函数的向量优化问题,建立了Karush-Kuhn-Tucker型充分最优性条件,同时获得不同的对偶理论结果.A class of generalized Type-I univex functions in Banach spaces which extend the concept of Type-I functions, quasitype I functions, also generalized Type-I univex functions to non-differentiable case are introduced. Also a vector optimization problem under generalized Type-I univex functions defined on Banach spaces is considered, and the Karush-Kuhn-Tucker type sufficient optimality conditions are established, also various duality results are obtained.

关 键 词：广义型Ⅰ一致凸函数 向量优化 最优性条件 对偶 

分 类 号：O177.91[理学—数学]