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：《International Journal of Intelligent Computing and Cybernetics》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》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

A Kind of Unified Strict Efficiency via Improvement Sets in Vector Optimization: 《Journal of the Operations Research Society of China》2018年第4期557-569,共13页Hui Guo Yan-Qin Bai; This research was supported by the National Natural Science Foundation of China(No.11671062);the Chongqing Municipal Education Commission(No.KJ1500310);the Doctor startup fund of Chongqing Normal University(No.16XLB010).; In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector optimization.This kind of efficiency is shown to be an extension of the classical strict efficienc...; 关键词：E-strict efficiency Improvement sets Linear scalarization Nonlinear scalarization Vector optimization

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

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

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

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.

Strict Efficiency in Vector Optimization with Ic-cone-convexlike Set-valued Functions: 《Chinese Quarterly Journal of Mathematics》2011年第4期505-510,共6页余丽; Supported by the National Natural Science Foundation of China(10461007);Supported by the Natural Science Foundation of Jiangxi Province(0611081); An important property of ic-cone-convexlike set-valued functions is obtained in this paper. Under the assumption of ic-cone-convexlikeness, the scalarization theorem and the Lagrange multiplier theorem for strict effi...; 关键词：ic-cone-convexlikeness strict efficiency SCALARIZATION Lagrangian multiplier theorem

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.

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

VECTOR_OPTIMIZATION