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SUBGRADIENT: 作品数：34被引量：36H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Journal of the Operations Research Society of China》更多>>; 相关基金：国家自然科学基金上海市教育委员会重点学科基金国家重点基础研究发展计划上海市自然科学基金更多>>

Directional Derivative and Subgradient of Cone-Convex Set-Valued Mappings with Applications in Set Optimization Problems: 《Journal of the Operations Research Society of China》2024年第4期1103-1125,共23页Yu Han; supported by the National Natural Science Foundation of China(11801257).; In this paper,we introduce a new directional derivative and subgradient of set-valued mappings by using a nonlinear scalarizing function.We obtain some properties of directional derivative and subgradient for cone-con...; 关键词：Set optimization problem Nonlinear scalarizing function Directional derivative SUBGRADIENT

A New Self Adaptive Inertial Subgradient Extragradient Iterative Algorithm for Solving Variational Inequalities of Pseudomonotone Mappings in Real Hilbert Spaces: 《数学进展》2024年第6期1285-1304,共20页HU Shaotao WANG Yuanheng TANG Yan JING Ping; Supported by NSFC(Nos.12171435,12301159)。; The main purpose of this paper is to introduce and deal with a self adaptive inertial subgradient extragradient iterative algorithm with a new and interesting stepsize rule in real Hilbert spaces.Under some proper con...; 关键词：strong convergence variational inequality extragradient method pseudomonotone operator Hilbert space

A SIMPLE ITERATIVE ALGORITHM FOR MAXCUT: 《Journal of Computational Mathematics》2024年第5期1277-1304,共28页Sihong Shao Dong Zhang Weixi Zhang; supported by the National Key R&D Program of China(Grant Nos.2020AAA0105200,2022YFA1005102);the National Natural Science Foundation of China(Grant Nos.12325112,12288101,11822102);the China Postdoctoral Science Foundation(Grant No.BX201700009).; We propose a simple iterative(SI)algorithm for the maxcut problem through fully using an equivalent continuous formulation.It does not need rounding at all and has advantages that all subproblems have explicit analyti...; 关键词：Maxcut Iterative algorithm Exact solution Subgradient selection Fractional programming

Distributed Heterogeneous Multi-Agent Optimization with Stochastic Sub-Gradient: 《Journal of Systems Science & Complexity》2024年第4期1470-1487,共18页HU Haokun MO Lipo CAO Xianbing; supported by the National Natural Science Foundation of China under Grant No.61973329;National Key Technology R&D Program of China under Grant No.2021YFD2100605;Project of Beijing Municipal University Teacher Team Construction Support Plan under Grant No.BPHR20220104。; This paper studies the optimization problem of heterogeneous networks under a timevarying topology.Each agent only accesses to one local objective function,which is nonsmooth.An improved algorithm with noisy measureme...; 关键词：Communication noises distributed stochastic optimization heterogeneous networks subgradient measurement noises

Weak and Strong Convergence of Self Adaptive Inertial Subgradient Extragradient Algorithms for Solving Variational Inequality Problems: 《Journal of Harbin Institute of Technology(New Series)》2024年第2期38-49,共12页Yao Li Hongwei Liu Jiamin Lv; Many solutions of variational inequalities have been proposed,among which the subgradient extragradient method has obvious advantages.Two different algorithms are given for solving variational inequality problem in th...; 关键词：variational inequality inertial method non-monotonic step size rule Lipschitz continuity pseudomonotone mapping

Inertial Subgradient Extragradient Algorithm for Solving Variational Inequality Problems with Pseudomonotonicity: 《Journal of Harbin Institute of Technology(New Series)》2023年第5期65-75,共11页Yuwan Ding Hongwei Liu Xiaojun Ma; In order to solve variational inequality problems of pseudomonotonicity and Lipschitz continuity in Hilbert spaces, an inertial subgradient extragradient algorithm is proposed by virtue of non-monotone stepsizes. More...; 关键词：variational inequality extragradient method PSEUDOMONOTONICITY Lipschitz continuity weak and linear convergence

TIME PERIODIC SOLUTIONS TO THE EVOLUTIONARY OSEEN MODEL FOR A GENERALIZED NEWTONIAN INCOMPRESSIBLE FLUID: 《Acta Mathematica Scientia》2023年第4期1645-1667,共23页岑金夏 Stanislaw MIGóRSKI Emilio VILCHES 曾生达; the NSF of Guangxi(2021GXNSFFA196004,GKAD23026237);the NNSF of China(12001478);the China Postdoctoral Science Foundation(2022M721560);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH;the National Science Center of Poland under Preludium Project(2017/25/N/ST1/00611);the Startup Project of Doctor Scientific Research of Yulin Normal University(G2020ZK07);the Ministry of Science and Higher Education of Republic of Poland(4004/GGPJII/H2020/2018/0,440328/Pn H2/2019)。; In this paper we study a nonstationary Oseen model for a generalized Newtonian incompressible fluid with a time periodic condition and a multivalued,nonmonotone friction law.First,a variational formulation of the mode...; 关键词：nonstationary Oseen model Newtonian incompressible fluid hemivariational inequality periodic solution generalized subgradient

Primal-Dual ε-Subgradient Method for Distributed Optimization: 《Journal of Systems Science & Complexity》2023年第2期577-590,共14页ZHU Kui TANG Yutao; supported by the National Natural Science Foundation of China under Grant No.61973043。; This paper studies the distributed optimization problem when the objective functions might be nondifferentiable and subject to heterogeneous set constraints.Unlike existing subgradient methods,the authors focus on the...; 关键词：Constrained optimization distributed optimization e-subgradient primal-dual dynamics

A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES被引量：2: 《Acta Mathematica Scientia》2023年第1期184-204,共21页Duong Viet THONG Vu Tien DUNG; funded by the University of Science,Vietnam National University,Hanoi under project number TN.21.01。; In this paper,we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces.For solving this problem,we propose a new method that combines the advantages of the subgradient ext...; 关键词：subgradient extragradient method inertial method variational inequality problem pseudomonotone mapping strong convergence convergence rate

Modified Subgradient Extragradient Method for Variational Inequality Problems and Fixed Point Problems: 《Journal of Harbin Institute of Technology(New Series)》2022年第5期11-19,共9页Xiaoyin Li Hongwei Liu Jiangli Cheng Dongyao Zhang; Many approaches inquiring into variational inequality problems have been put forward,among which subgradient extragradient method is of great significance.A novel algorithm is presented in this article for resolving q...; 关键词：inertial method fixed point variational inequality strong convergence subgradient extragradient method

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