广义锥-凸集值优化问题Benson真有效元的最优性条件  

Optimality Conditions on Benson Proper Efficient Element of Set-valued Optimization Problem with Generalized Cone Convex Set-valued Maps

作　　者：王美能[1] 余丽[1] WANG Mei-neng;YU Li(College of Mathematics and Computer Science,Yichun University,Yichun 336000,China)

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《宜春学院学报》2022年第9期1-3,共3页Journal of Yichun University

基　　金：国家自然科学基金项目(编号:62161050);江西省教育厅科技项目(编号:GJJ211603)。

摘　　要：该文讨论相依上图导数形式下广义锥-凸集值优化Benson真有效元的最优性条件。首先,借助相依上图导数建立了集值优化问题Benson真有效元的必要和充分最优性条件;其次,建立了具Slater约束规格的集值优化问题Benson真有效元的相依上图导数型Kuhn-Tucker充分最优性条件。Under the assumption of generalized cone convex set-valued maps,the optimality conditions on Benson proper efficient element are discussed by using the contingent epiderivative.Firstly,the optimality necessary and sufficient conditions of the set-valued optimization problem in the sense of Benson proper efficiency is established.Secondly,Kuhn-Tucker type sufficient condition of the set-valued optimization problem in terms of contingent epiderivative is obtained.

关 键 词：相依上图导数 BENSON真有效性 广义锥-凸性 最优性条件 

分 类 号：O221[理学—运筹学与控制论] O224[理学—数学]