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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NECESSARY CONDITIONS FOR EFFICIENT SOLUTION OF VECTOR OPTIMIZATION PROBLEMS
《Journal of Systems Science & Complexity》2012年第3期514-520,共7页Xunhua GONG 
supported by the Natural Science Foundation of China under Grant No.11061023;Natural Science Foundation of Jiangxi Province,China
In this paper, by using Ljusternik＇s theorem and the open mapping theorem of convex process, the author gives necessary conditions for the efficient solution to the vector optimization problems without requiring that...
关键词：Efficient solution Frechet derivative necessary conditions 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 
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 
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