Banach空间中广义型-Ⅰ向量优化的最优性条件

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 543-550.

Banach空间中广义型-Ⅰ向量优化的最优性条件

1. Department of Mathematics, Huanghuai College2. Department of Mathematics, Henan Science and Technology University

收稿日期:2007-10-17 出版日期:2009-12-30 发布日期:2023-06-19
作者简介:QU He-mei(1956-), female, native of Biyang, Henan, an associate profssor of Huanghuai College, engages in uncertain information processing; XUE Zhen-xia(1980-), female, native of Lingbao, Henan, a lecturer of Henan Science and Technology University, engaged in optimization theory and application.
基金资助:
Supported by the National Natural Science Foundation of China(60574075)；

Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach

1. Department of Mathematics, Huanghuai College2. Department of Mathematics, Henan Science and Technology University

Received:2007-10-17 Online:2009-12-30 Published:2023-06-19
About author:QU He-mei(1956-), female, native of Biyang, Henan, an associate profssor of Huanghuai College, engages in uncertain information processing; XUE Zhen-xia(1980-), female, native of Lingbao, Henan, a lecturer of Henan Science and Technology University, engaged in optimization theory and application.
Supported by:
Supported by the National Natural Science Foundation of China(60574075)；

摘要/Abstract

摘要： In this note, new classes of generalized type-I functions are introduced for functions between Banach spaces. These generalized type-I functions are then utilized to establish sufficient optimality conditions and duality results for a vector optimization problem with functions defined on a Banach space.

关键词: vector optimization, optimality conditions, type-I functions, duality

Abstract: In this note, new classes of generalized type-I functions are introduced for functions between Banach spaces. These generalized type-I functions are then utilized to establish sufficient optimality conditions and duality results for a vector optimization problem with functions defined on a Banach space.

Key words: vector optimization, optimality conditions, type-I functions, duality

中图分类号:

O177.2

曲贺梅, 薛贞霞. Banach空间中广义型-Ⅰ向量优化的最优性条件[J]. 数学季刊, 2009, 24(4): 543-550.

QU He-mei, XUE Zhen-xia. Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 543-550.

[1]	郭艳艳, 国起. 一类灰度形态学膨胀和腐蚀算子 [J]. 数学季刊, 2017, 32(2): 181-186.
[2]	张庆祥, 张永战. 广义一致(C,α,ρ,d)凸多目标半无限规划的最优性条件[J]. 数学季刊, 2013, 28(2): 241-249.
[3]	张庆祥, 姜艳, 康瑞瑞. (V,ρ)_h,φ-Ⅰ 型多目标规划的最优性充分条件[J]. 数学季刊, 2012, 27(3): 409-416.
[4]	黄龙光. 向量优化问题的对偶性[J]. 数学季刊, 2012, 27(1): 133-138.
[5]	张健, 王其林. 锥似凸映射下集值优化Henig有效解的高阶最优性条件[J]. 数学季刊, 2011, 26(3): 415-419.
[6]	王其林 . 集值映射向量优化的ε-强有效解[J]. 数学季刊, 2010, 25(1): 104-109.
[7]	胡清洁, 肖运海, 陈内萍. 半局部E-凸性下分式多目标规划的最优性条件与对偶 [J]. 数学季刊, 2009, 24(2): 200-210.
[8]	王雄亮, 刘太顺. 有界对称域上的加权Bergman空间[J]. 数学季刊, 2008, 23(1): 36-44.
[9]	丁天彪, 田利钦. On Dual Cosine Operator Function[J]. 数学季刊, 1996, 11(3): 87-90.