CONVERGENCE THEOREM OF RELAXED QUASIMONOTONE VARIATIONAL INEQUALITY PROBLEMS

被引：0

作者：

Kim, Jong Kyu ^{[1
]}

Alesemi, Meshari ^{[2
]}

Salahuddin ^{[2
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Changwon Gyeongnam 51767, South Korea

[2] Jazan Univ, Dept Math, Jazan 45142, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Relaxed mu-quasimonotone variational inequality problems; algorithm; weak convergence; Hilbert spaces; EXTRAGRADIENT METHOD; COMPLEMENTARITY-PROBLEMS; WEAK-CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggested a relaxed mu-quasimonotone variational inequality problems in Hilbert spaces, and we proved that the iterative sequence generated by an algorithm converges weakly to the solution of the variational inequalities.

引用

页码：2671 / 2678

页数：8

共 22 条

[1]

Afassinou Komi, 2020, Nonlinear Functional Analysis and Applications, V25, P491, DOI 10.22771/nfaa.2020.25.03.06

[2]

Ahmad M. K., 2012, DISCONTINUITY NONLIN, V1, P225

[3] On the generalized monotonicity of variational inequalities [J].

Bai, Min-Ru ;

Zhou, Shu-Zi ;

Ni, Gu-Yan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (06) :910-917

[4]

Bauschke HH, 2011, CMS BOOKS MATH, P1, DOI 10.1007/978-1-4419-9467-7

[5] The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space [J].

Censor, Y. ;

Gibali, A. ;

Reich, S. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 148 (02) :318-335

[6] Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space [J].

Censor, Yair ;

Gibali, Aviv ;

Reich, Simeon .

OPTIMIZATION METHODS & SOFTWARE, 2011, 26 (4-5) :827-845

[7] Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space [J].

Censor, Yair ;

Gibali, Aviv ;

Reich, Simeon .

OPTIMIZATION, 2012, 61 (09) :1119-1132

[8] PSEUDOMONOTONE COMPLEMENTARITY-PROBLEMS IN HILBERT-SPACE [J].

COTTLE, RW ;

YAO, JC .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 75 (02) :281-295

[9]

Ding XP, 2017, KOREAN J MATH, V25, P19, DOI 10.11568/kjm.2017.25.1.19

[10]

Goebel K., 1984, Uniform Convexity, Hyperbolic Geometry, and Non-expansive Mappings, VVolume 83

← 1 2 3 →