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>>
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A Kind of Equivalence of Three Nonlinear Scalarization Functions in Vector Optimization
《Journal of Systems Science & Complexity》2021年第2期692-705,共14页LI Fei YANG Xinmin 
the National Natural Science Foundation of China under Grant Nos.11601248,11431004,11971084。
In this paper,by the notions of base functionals and augmented dual cones,the authors indicate firstly that the norms,Gerstewitz functionals and oriented distance functions have common characteristics with base functi...
关键词：Base functionals Gerstewitz functionals norms oriented distance functions vector optimization 
Lower Semicontinuity of the Effcient Solution Mapping in Semi-In?nite Vector Optimization被引量：1
《Journal of Systems Science & Complexity》2015年第6期1312-1325,共14页GONG Xunhua 
supported by the National Natural Science Foundation of China under Grant Nos.11061023;11201216;and 11471291
This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and th...
关键词：Effcient solution mapping lower semicontinuity semi-infinite vector optimization vector equilibrium problem 
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. 
ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS被引量：1
《Journal of Systems Science & Complexity》2007年第3期344-349,共6页S. K. MISHRA Shouyang WANG K. K. LAI 
The research is supported by the Department of Science and Technology,Ministry of Science and Technology,Government of India under the SERC Fast Track Scheme for Young Scientists 2001-2002(No.SR/FTP/MS-22/2001).
In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships betw...
关键词：α-pseudo-univex functions vector optimization vector variational-like inequality problems. 
ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR被引量：1
《Systems Science and Mathematical Sciences》2000年第1期17-22,共6页GONG Xun hua (Department of Mathematics, Nanchang University, Nanchang 330047, China) 
1.IntroductionLetXbeavectorspace,Ybeatopologicalvectorspace,Zbealocallyconvexspace,andletthetopologicaldualspacesofYandZbedenotedbyY*andZ*,respectively.LetCbeapointedconvexconeinYandKbeaclosedconvexpointedconeinZ.Thed...
关键词：Convex vector optimization LAGRANGE MULTIPLIER SADDLE point. 
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