ON THE STRONG CONVERGENCE OF A PROJECTION-BASED ALGORITHM IN HILBERT SPACES

被引：7

作者：

Liu, Liya ^{[1
]}

Qin, Xiaolong ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Sichuan, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期

关键词：

Strong convergence; variational inequality problem; inertial method; pseudo-monotone mapping; FORWARD-BACKWARD ALGORITHM; SOLVING SPLIT FEASIBILITY; VARIATIONAL-INEQUALITIES; OPTIMIZATION PROBLEMS; EXTRAGRADIENT METHOD; COMMON SOLUTIONS; FINITE FAMILY; HYBRID METHOD; FIXED-POINTS; ZERO-POINT;

D O I：

10.11948/20190004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new projection-based algorithm for solving variational inequality problems with a Lipschitz continuous pseudomonotone mapping in Hilbert spaces. We prove a strong convergence of the generated sequences. The numerical behaviors of the proposed algorithm on test problems are illustrated and compared with previously known algorithms.

引用

页码：104 / 117

页数：14

共 50 条

[21] Strong Convergence Theorems of the CQ Algorithm for H-Monotone Operators in Hilbert Spaces
He, Huimin
Liu, Sanyang
ABSTRACT AND APPLIED ANALYSIS, 2014,
[22] Strong Convergence of the Inertial Proximal Algorithm for the Split Variational Inclusion Problem in Hilbert Spaces
Kesornprom, Suparat
Pholasa, Nattawut
THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1401 - 1415
[23] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR λ-STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN HILBERT SPACES
Li, Mengqin
Yao, Yonghong
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 219 - 228
[24] Strong convergence of a modified iterative algorithm for mixed-equilibrium problems in Hilbert spaces
Gao, Xueliang
Guo, Yunrui
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[25] A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces
Ghadampour, Mostafa
O'Regan, Donal
Soori, Ebrahim
Agarwal, Ravi P.
JOURNAL OF FUNCTION SPACES, 2021, 2021
[26] Oblique projection-based beamforming algorithm
Zhang, Xiao-Fei
Xu, Da-Zhuan
Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2008, 30 (03): : 585 - 588
[27] STRONG-CONVERGENCE OF ALMOST SIMULTANEOUS BLOCK-ITERATIVE PROJECTION METHODS IN HILBERT-SPACES
BUTNARIU, D
CENSOR, Y
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 53 (01) : 33 - 42
[28] Strong convergence of new iterative projection methods with regularization for solving monotone variational inequalities in Hilbert spaces
Van Hieu, Dang
Dung Muu, Le
Ngoc Duong, Hoang
Huu Thai, Buu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 9745 - 9765
[29] ON STRONG AND WEAK CONVERGENCE IN n-HILBERT SPACES
Soenjaya, Agus
JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2013, 19 (02) : 79 - 87
[30] STRONG CONVERGENCE OF A GENERAL ITERATIVE PROCESS IN HILBERT SPACES
Yang, Yantao
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) : 1945 - 1957

← 1 2 3 4 5 →