云南高校图书馆联盟文献共享服务平台- VECTOR

VECTOR_OPTIMIZATION: 作品数：38被引量：77H指数：6; 导出分析报告; 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>>

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

NON-CONFLICTING ORDERING CONES AND VECTOR OPTIMIZATION IN INDUCTIVE LIMITS: 《Acta Mathematica Scientia》2014年第5期1670-1676,共7页丘京辉; supported by the National Natural Science Foundation of China(10871141); Let （E,ξ）=ind（En,ξn） be an inductive limit of a sequence （En,ξn）n∈N of locally convex spaces and let every step （En,ξn） be endowed with a partial order by a pointed convex （solid） cone Sn. In the framew...; 关键词：locally convex space inductive limit vector optimization efficient point weakly efficient point

A Note on the Guignard Constraint Qualification and the Guignard Regularity Condition in Vector Optimization: 《Applied Mathematics》2013年第4期734-740,共7页Giorgio Giorgi; Some remarks are made on the use of the Abadie constraint qualification, the Guignard constraint qualifications and the Guignard regularity condition in obtaining weak and strong Kuhn-Tucker type optimality conditions...; 关键词：Constraint QUALIFICATIONS REGULARITY CONDITIONS OPTIMALITY CONDITIONS Vector Optimization Problems

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.

Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization: 《Journal of Mathematical Research and Exposition》2011年第1期157-164,共8页Pei ZHAO Sheng Jie LI; Supported by the National Natural Science Foundation of China (Grant No.10871216);Innovative Talent Training Project,the Third Stage of "211 Project"Chongqing University (Grant No.S-0911); The aim of this paper is to apply a perturbation approach to deal with Fenchel- Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships...; 关键词：Vector optimization Fenchel-Lagrange duality SADDLE-POINTS weak efficiency.

On Relations of Vector Optimization Results with C^(1,1) Data: 《Acta Mathematica Sinica,English Series》2010年第11期2031-2040,共10页Duan BEDNA■íK Karel PASTOR; Supported by the Council of Czech Government (MSM 6198959214); In this article we prove that some of the sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Luc [Appl. Math., 51, 5-36 （2006）] generalize （strictly） those presented by Guerraggio, Luc...; 关键词：C1＇1 function generalized second-order directional derivative Dini derivative weakly efficient minimizer isolated minimizer of second-order

Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces被引量：2: 《Journal of Shanghai University(English Edition)》2010年第5期374-379,共6页周志昂; Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. U...; 关键词：set-valued maps vector closure generalized subconvexlikeness Benson proper efficient solution

ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps被引量：10: 《Chinese Quarterly Journal of Mathematics》2010年第1期104-109,共6页WANG Qi-liu; Foundation item： Supported by the Natural Science Foundation of China（10871216）; Supported by the Natural Science Foundation Project of CQ CSTC（2008BB0346, 2007BB0441）; Supported by the Excellent Young Teachers Program of Chongqing Jiaotong University（EYT08-016） Acknowledgement The author would like to thank the anonymous referee for the valuable remarks that helped considerably to correct and to improve the presentation.; In locally convex Hausdorff topological vector spaces,ε-strongly efficient solutions for vector optimization with set-valued maps are discussed.Firstly,ε-strongly efficient point of set is introduced.Secondly,under ...; 关键词：vector optimization ε-strongly efficient point nearly cone-subconvexlike setvalued maps ε-strongly efficient solutions the theorem of scalarization optimality conditions

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

VECTOR_OPTIMIZATION