VECTOR_OPTIMIZATION

作品数：38被引量：77H指数：6
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相关作者：盛宝怀刘三阳方亚平黄南京更多>>
相关机构：四川大学更多>>
相关期刊：《Progress in Natural Science:Materials International》《Applied Mathematics》《Acta Mathematica Sinica,English Series》《International Journal of Intelligent Computing and Cybernetics》更多>>
相关基金：国家自然科学基金国家重点基础研究发展计划山西省自然科学基金国家教育部博士点基金更多>>
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Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
《Acta Mathematicae Applicatae Sinica》2022年第2期337-351,共15页Yan-fei CHAI San-yang LIU Si-qi WANG 
supported by National Science Foundation of China(No.11401487);the Education Department of Shaanxi Province(No.17JK0330);the Fundamental Research Funds for the Central Universities(No.300102341101);State Key Laboratory of Rail Transit Engineering Informatization(No.211934210083)。
In this paper,we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued f...
关键词：Nonconvex set-valued vector optimization abstract subdifferential generalized augmented Lagrangian duality exact penalization sub-optimal path 
A Revised Pre-Order Principle and Set-Valued Ekeland Variational Principles with Generalized Distances
《Acta Mathematica Sinica,English Series》2017年第6期775-792,共18页Jing Hui QIU 
Supported by National Natural Science Foundation of China(Grant Nos.11471236 and 11561049)
In my former paper ＂A pre-order principle and set-valued Ekeland variational principle＂ （see [J. Math. Anal. Applo, 419, 904 937 （2014）]）, we established a general pre-order principle. From the pre-order princip...
关键词：Pre-order principle Ekeland variational principle set-valued map perturbation locallyconvex space vector optimization 
Optimality for Henig Proper Efficiency in Vector Optimization Involving Dini Set-Valued Directional Derivatives
《Applied Mathematics》2011年第7期922-925,共4页Guolin Yu Huaipeng Bai 
This note studies the optimality conditions of vector optimization problems involving generalized convexity in locally convex spaces. Based upon the concept of Dini set-valued directional derivatives, the necessary an...
关键词：VECTOR Optimization Dini SET-VALUED Directional DERIVATIVE Generalized Preinvex Function Henig PROPER Efficiency 
Generalized cone-subconvexlike set-valued maps and applications to vector optimization被引量：1
《Journal of Chongqing University》2002年第2期67-71,共5页黄永伟 HUANG Yongwei 
The definitions of cone-subconvexlike set-valued maps and generalized cone-subconvexlike set-valued maps in topological vector spaces are defined by using the relative interiors of ordering cone. The relationships bet...
关键词：relative interiors generalized cone-subconvexlikeness set-valued vector optimization optimality conditions weak E-minimizer. 
THE OPTIMALITY CONDITIONS OF NONCONVEXSET-VALUED VECTOR OPTIMIZATION被引量：2
《Acta Mathematica Scientia》2002年第1期47-55,共9页盛保怀 刘三阳 
the National Natural Science Foundation(69972036) and the Natural Science Foundation of Shanxi province(995L02)
The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John op...
关键词：set-valued derivative optimality condition pseudoconvex set-valued mapping 
TOPOLOGICAL　STRUCTURE　OF　EFFICIENT　SET　OF　OPTIMIZATION　PROBLEM　OF　SET－VALUED　MAPPING被引量：7
《Chinese Annals of Mathematics,Series B》1994年第1期115-122,共8页LI YUANXI 
This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, co...
关键词：Optimization of set-valued mapping Vector optimization Efficient solution Cone-convexity Cone-quasiconvexity Closedness Connectedness. 
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