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>>

Stability of Generalized Minimax Regret Equilibria with Scalar Set Payoff: 《Journal of Applied Mathematics and Physics》2022年第11期3281-3287,共7页Qiaoling Zhao; In this paper, we first introduce the notion and model of generalized minimax regret equilibria with scalar set payoffs. After that, we study its general stability theorem under the conditions that the existence theor...; 关键词：Minimax Regret Equilibria Set Payoff Generic Stability Vector Optimization

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

Mathematical Apparatus for Selection of Optimal Parameters of Technical, Technological Systems and Materials Based on Vector Optimization: 《American Journal of Operations Research》2020年第5期173-239,共67页Yu Mashunin; We presented Mathematical apparatus of the choice of optimum parameters of technical, technological systems and materials on the basis of vector optimization. We have considered the formulation and solution of three t...; 关键词：Vector Optimization Methods of Solution of Vector Problems Modeling of a Technical System Modeling Operation of Technological Processes Modeling of Structure of Material

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

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

Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach被引量：1: 《Chinese Quarterly Journal of Mathematics》2009年第4期543-550,共8页QU He-mei XUE Zhen-xia; Foundation item： Supported by the National Natural Science Foundation of China（60574075） University, engaged in optimization theory and application.; In this note,new classes of generalized type-I functions are introduced for functions between Banach spaces.These generalized type-I functions are then utilized to establish sufficient optimality conditions and dualit...; 关键词：vector optimization optimality conditions type-I functions duality

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

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS被引量：14: 《Acta Mathematica Scientia》2005年第1期152-160,共9页徐义红刘三阳; ThisresearchwassupportedbytheNationalNaturalScienceFoundationofChina(10261000)theNaturalScienceFoundationofJiangxiProvince(0412013)theBasicTheoryFoundationofNanchangUniversity; Some properties for convex cones are discussed, which are used to obtain an equivalent condition and another important property for nearly cone-subconvexlike set-valued functions. Under the nearly cone-subconvexlikene...; 关键词：Nearly cone-subconvexlikeness convex cones super efficiency SCALARIZATION Lagrangian multipliers

VECTOR_OPTIMIZATION