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VARIATIONAL_INEQUALITY: 作品数：135被引量：204H指数：7; 导出分析报告; 相关作者：何炳生余丽云何洪津王群蔡邢菊更多>>; 相关机构：南京大学浙江师范大学杭州电子科技大学南京师范大学更多>>; 相关期刊：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国家教育部博士点基金广东省自然科学基金更多>>

Convergence of a New Bregman Projection Method with a Self-adaptive Stepsize for Solving Monotone Inclusion Problems and Variational Inequality Problems in Reflexive Banach Spaces: 《数学进展》2025年第1期141-163,共23页CHEN Lulu CAI Gang; Supported by NSFC(No.12171062);the Natural Science Foundation of Chongqing(No.CSTB2022NSCQ-JQX0004);the Chongqing Talent Support Program(No.cstc2024ycjh-bgzxm0121);Science and Technology Project of Chongqing Education Committee(No.KJZD-M202300503)。; The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces....; 关键词：Bregman distance variational inequality monotone inclusion maximal operator reflexive Banach space

Expected Residual Minimization Method for Stochastic Tensor Variational Inequalities: 《Journal of the Operations Research Society of China》2024年第4期1048-1071,共24页Tong-Tong Shang Guo-Ji Tang; supported by the National Natural Science Foundation of China(No.11961006);Guangxi Natural Science Foundation(No.2020GXNSFAA159100).; The goal of this paper is to introduce and investigate a model called the stochastic tensor variational inequality(denoted by STVI),which is a natural extension of the stochastic linear complementarity problem and the...; 关键词：Stochastic tensor variational inequality Strongly monotone tensor Level set Convergence

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

Distributed algorithm for solving variational inequalities over time-varying unbalanced digraphs: 《Control Theory and Technology》2024年第3期431-441,共11页Yichen Zhang Yutao Tang Zhipeng Tu Yiguang Hong; supported by the National Natural Science Foundation of China(No.61973043);Shanghai Municipal Science and Technology Major Project(No.2021SHZDZX0100).; In this paper,we study a distributed model to cooperatively compute variational inequalities over time-varying directed graphs.Here,each agent has access to a part of the full mapping and holds a local view of the glo...; 关键词：Variational inequality Distributed computation Multi-agent system Weight-unbalanced graph

Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期201-219,共19页Othman Baiz EL-Hassan Benkhira Rachid Fakhar; In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coul...; 关键词：piezoelectric material frictional contact variational Inequality fixed point process finite element method error estimation iteration method

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

STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES: 《Acta Mathematica Scientia》2024年第2期551-566,共16页姚永红 Abubakar ADAMU Yekini SHEHU; This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inerti...; 关键词：forward-backward-forward algorithm inertial extrapolation variational inequality on-line rule

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

Regularization Methods to Approximate Solutions of Variational Inequalities: 《Open Journal of Optimization》2023年第2期34-60,共27页Nguyen Van Kinh; In this paper, we study the regularization methods to approximate the solutions of the variational inequalities with monotone hemi-continuous operator having perturbed operators arbitrary. Detail, we shall study regul...; 关键词：Ill-Posed Problem Variational Inequality Regularization Method Monotone Operator Hemi-Continuous Operator Lower Semi-Continuous Function

Optimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated system: 《International Journal of Biomathematics》2023年第1期1-27,共27页Zong Wang Qimin Zhang; The parameters of biological system may change under the influence of different states or state processes.The change of parameters can also affect the dynamic behaviors of epidemic disease.This paper presents a mean f...; 关键词：Mean-field stochastic differential equation stochastic maximum principle SIV epidemic model variational inequality sufficient and necessary conditions.

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