VECTOR_OPTIMIZATION

作品数：38被引量：77H指数：6
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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 
Some Minimax Problems in Lexicographic Order
《Acta Mathematicae Applicatae Sinica》2017年第1期193-200,共8页Yu ZHANG Sheng-jie LI 
Supported by the National Natural Science Foundation of China(No.11171362,11571055)
In this paper, minimax theorems and saddle points for a class of vector-valued mappings f（x, y） = u（x） ＋ β（x）v（y） are first investigated in the sense of lexicographic order, where u, v are two general vector...
关键词：vector Optimization Minimax theorem Lexicographic saddle point lexicographic equilibriumproblem 
Necessary Optimality Conditions for a Class of Nonsmooth Vector Optimization被引量：1
《Acta Mathematicae Applicatae Sinica》2009年第1期87-94,共8页Hui-xian Wu He-zhi Luo 
Supported by the National Natural Science Foundation of China(No.70671064,No.60673177);the Province Natural Science Foundation of Zhejiang(No.Y7080184);the Education Department Foundation of Zhejiang Province(No.20070306)
The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of mini- mizing a vector function whose each component is the sum of a differentiable function and a convex function, subjcct to a...
关键词：Vector optimization problems necessary conditions weak efficiency constraint qualifications 
Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions被引量：8
《Acta Mathematicae Applicatae Sinica》2007年第2期319-328,共10页Qiu-sheng Qiu 
the Natural Science Foundation of Zhejiang Province,China(M103089)
In this paper, we study Henig efficiency in vector optimization with nearly cone-subconvexlike set-valued function. The existence of Henig efficient point is proved and characterization of Henig efficiency is establis...
关键词：Set-valued function vector optimization Lagrangian multiplier theorem Henig efficiency nearly cone-subconvexlikeness 
On Connectedness of Efficient Solution Sets for a Star Cone-Quasiconvex Vector Optimization Problem
《Acta Mathematicae Applicatae Sinica》2007年第1期91-98,共8页Wen Song Bo-ying Wu Jian-mei Zhang 
Supported by the National Natural Science Foundation of China(No.10471032);the Excellent Young Teachers Program of the Ministry of Education of China
In this note, we prove that the efficient solution set for a vector optimization problem with a continuous, star cone-quasiconvex objective mapping is connected under the assumption that the ordering cone is a D-cone....
关键词：Vector optimization efficient point set CONNECTIVITY D-cone 
On First Order Optimality Conditions for Vector Optimization被引量：1
《Acta Mathematicae Applicatae Sinica》2003年第3期371-386,共16页L.M.Gra■a Drummond A.N.Iusem B.F.Svaiter 
a post-doctoral fellowship within the Department of Mathematics of the University of Haifa and by FAPERJ (Grant No.E-26/152.107/1990-Bolsa);Partially supported by CNP_q (Grant No.301280/86).Partially supported by CNP_q (Grant No.3002748/2002-4)
We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior. After presentin...
关键词：Cone constraints vector optimization Pareto minimization first order optimality conditions convex programming DUALITY 
SUPER EFFICIENCY AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE被引量：1
《Acta Mathematicae Applicatae Sinica》2000年第1期22-26,共5页胡毓达 龚循华 
supported by the National Natural Science FOundation of China and the Natural ScienceFoundation of Jiangxi Province.
In this paper, we give a characterization of super efficiency, and obtain a scalarization result for super efficiency in locally convex locally bounded topological vector spaces. The proof given here is substantially ...
关键词：Vector optimization super efficiency SCALARIZATION self-allied cone 
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