VARIATIONAL_INEQUALITY

作品数:135被引量:204H指数:7
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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 
EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS
《Acta Mathematica Scientia》2021年第4期1151-1168,共18页Yongjian LIU Stanisiaw MIGÓRSKI Van Thien NGUYEN Shengda ZHENG 
The project supported by the NNSF of China Grants Nos.12001478,12026255,12026256 and 11961074,H2020-MSCA-RISE-2018 Research;Innovation Staff Exchange Scheme Fellowship within the Project No.823731 CONMECH;National Science Center of Poland under Preludium Project No.2017/25/N/ST1/00611;It is also supported by the Startup Project of Doctor Scientific Research of Yulin Normal University No.G2020ZK07;Natural Science Foundation of Guangxi Province Grants Nos.2018GXNSFDA281028 and 2020GXNSFBA297137;the High Level Innovation Team Program from Guangxi Higher Education Institutions of China(Document no.[2018]35).
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral friction...
关键词:Mixed variational-hemi variational inequality H-convergence HOMOGENIZATION Clarke subgradient Lagrange multiplier elasticity operator 
A FRACTIONAL NONLINEAR EVOLUTIONARY DELAY SYSTEM DRIVEN BY A HEMI-VARIATIONAL INEQUALITY IN BANACH SPACES被引量:1
《Acta Mathematica Scientia》2021年第1期187-206,共20页Yunhua WENG Xuesong LI Nanjing HUANG 
supported by the National Natural Science Foundation of China(11471230,11671282)。
This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space.Utilizing the KKM theorem,a result concerned with the upper semicontinuity and measur...
关键词:fractional differential variational inequality fractional nonlinear delay evolution equation hemi-variational inequality condensing map KKM theorem fixed point theorem 
SINGLE PROJECTION ALGORITHM FOR VARIATIONAL INEQUALITIES IN BANACH SPACES WITH APPLICATION TO CONTACT PROBLEM被引量:3
《Acta Mathematica Scientia》2020年第4期1045-1063,共19页Yekini SHEHU 
We study the single projection algorithm of Tseng for solving a variational inequality problem in a 2-uniformly convex Banach space.The underline cost function of the variational inequality is assumed to be monotone a...
关键词:variational inequality 2-uniformly convex Banach space Tseng’s algorithm strong convergence rate of convergence 
MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS被引量:4
《Acta Mathematica Scientia》2019年第2期461-468,共8页Stanislaw MIGóRSKI Shengda ZENG 
received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement(823731-CONMECH);supported by the National Science Center of Poland under Maestro Project(UMO-2012/06/A/ST1/00262);National Science Center of Poland under Preludium Project(2017/25/N/ST1/00611);supported by the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland(3792/GGPJ/H2020/2017/0);Qinzhou University Project(2018KYQD06);National Natural Sciences Foundation of Guangxi(2018JJA110006)
The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation...
关键词:fractional differential variational inequality C_0-semigroup Minty mixed variational inequality EXISTENCE mild solutions 
DIFFERENTIAL VARIATIONAL INEQUALITIES IN INFINITE BANACH SPACES被引量:8
《Acta Mathematica Scientia》2017年第1期26-32,共7页刘振海 曾生达 
supported by NNSF of China(11671101);the National Science Center of Poland Under Maestro Advanced Project(UMO-2012/06/A/ST1/00262);Special Funds of Guangxi Distinguished Experts Construction Engineering
In this paper,we consider a new differential variational inequality(DVI,for short)which is composed of an evolution equation and a variational inequality in infinite Banach spaces.This kind of problems may be regard...
关键词:differential variational inequality C0-SEMIGROUP monotone operator existcnceof solutions 
DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES被引量:3
《Acta Mathematica Scientia》2015年第2期407-422,共16页李为 汪星 黄南京 
supported by the National Natural Science Foundation of China(11301359,11171237);the Key Program of NSFC(70831005)
In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differenti...
关键词:Differential inverse variational inequality differential variational inequality linear growth Caratheodory weak solutions 
APPROXIMATION OF FIXED POINTS AND VARIATIONAL SOLUTIONS FOR PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES被引量:2
《Acta Mathematica Scientia》2014年第2期409-423,共15页Yekini SHEHU 
Let K be a nonempty, closed and convex subset of a real reflexive Banach space E which has a uniformly Gateaux differentiable norm. Assume that every nonempty closed con- vex and bounded subset of K has the fixed poin...
关键词:Pseudo-contractive mappings reflexive Banach spaces uniformly Gateaux differentiable norm variational inequality 
WEAK CONVERGENCE THEOREMS FOR GENERAL EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES被引量:2
《Acta Mathematica Scientia》2013年第1期303-320,共18页蔡钢 步尚金 
supported by the NSF of China(11171172)
In this paper, we introduce two new iterative algorithms for finding a common element of the set of solutions of a general equilibrium problem and the set of solutions of the variational inequality for an inverse-stro...
关键词:weak convergence relatively nonexpansive mapping equilibrium problem variational inequality 
APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS被引量:4
《Acta Mathematica Scientia》2012年第4期1607-1618,共12页Sun Young Cho Shin Min Kang 
In this paper, a convex feasibility problem is considered. We construct an iterative method to approximate a common element of the solution set of classical variational inequalities and of the fixed point set of a str...
关键词:fixed point inverse-strongly monotone mapping nonexpansive mapping variational inequality 
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