Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential|Yan-fei CHAI;San-yang LIU;Si-qi WANG|School of Mathematics and Statistics,Xidian University,Xi'an 710071,China - 期刊导航|首站-论文投稿智能助手|论文发表|论文智能投稿|期刊自助发表推荐|杂志社快速发表|查同导刊-域田数据官方网站

典型文献

Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential

文献摘要：

In this paper,we investigate dual problems for nonconvex set-valued vector optimization via ab-stract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued function for set-valued vector optimization problem and construct related set-valued dual map and dual optimization problem on the basic of weak efficiency,which used by the concepts of supremum and infimum of a set.We then establish the weak and strong duality results under this augmented Lagrangian and present sufficient conditions for exact penalization via an abstract subdifferential of the object map.Finally,we define the sub-optimal path related to the dual problem and show that every cluster point of this sub-optimal path is a primal optimal solution of the object optimization problem.In addition,we consider a generalized vector variational inequality as an application of abstract subdifferential.

文献关键词：

中图分类号：

[1] 医药、卫生（R） / 基础医学（R3） / 病理学（R36） / 病理过程（R364）

[2] 医药、卫生（R） / 药学（R9） / 药理学（R96） / 实验药理学（R965）

[3] 自动化技术、计算机技术（TP） / 计算技术、计算机技术（TP3） / 计算机的应用（TP39） / 信息处理(信息加工)（TP391）

作者姓名：

Yan-fei CHAI;San-yang LIU;Si-qi WANG

作者机构：

Department of Mathematics,Xi'an Polytechnic University,Xi'an 710048,China;School of Mathematics and Statistics,Xidian University,Xi'an 710071,China;College of Transportation Engineering,Chang'an University,Xi'an 710064,China

文献出处：

应用数学学报（英文版）

引用格式：

[1]Yan-fei CHAI;San-yang LIU;Si-qi WANG-.Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential)[J].应用数学学报（英文版）,2022(02):337-351

A类：

Duality,Subdifferential,stract,subdifferential,infimum

B类：

Generalized,Lagrangian,Set,valued,Vector,Optimization,via,Abstract,In,this,paper,investigate,problems,nonconvex,set,vector,optimization,We,first,introduce,generalized,augmented,function,induced,by,coupling,construct,related,map,basic,weak,efficiency,which,used,concepts,supremum,then,establish,strong,duality,results,under,present,sufficient,conditions,exact,penalization,abstract,object,Finally,define,optimal,path,show,that,every,cluster,point,primal,solution,addition,consider,variational,inequality,application

AB值：

0.474194

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