A SELF-ADAPTIVE PROJECTION METHOD FOR A CLASS OF VARIANT VARIATIONAL INEQUALITIES

被引：0

作者：

Bnouhachem, Abdellah ^{[1
,2
]}

Noor, Muhammad Aslam ^{[3
,4
]}

Khalfaoui, Mohamed ^{[5
]}

Sheng Zhaohan ^{[1
]}

机构：

[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Peoples R China

[2] Ibn Zohr Univ, ENSA, Agadir, Morocco

[3] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

[4] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[5] Mohamed 5 Univ Sci, Ecole Super Technol Sale, Rabat, Morocco

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2011年 / 5卷 / 01期

关键词：

Variational inequalities; self-adaptive rules; projection method; COMPLEMENTARITY-PROBLEMS; CONTRACTION METHOD; HILBERT-SPACE; ALGORITHMS;

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 consider the general variant variational inequality of the type: Find a vector u* is an element of R(n), such that Q(u*) is an element of Omega, < v - Q(u*),Tu*> >= 0, for all nu is an element of Omega, where T, Q are operators. We suggest and analyze a very simple self-adaptive iterative method for solving this class of general variational inequalities. Under certain conditions, the global convergence of the proposed method is proved. An example is given to illustrate the efficiency and implementation of the proposed method. Preliminary numerical results show that the proposed method is applicable.

引用

页码：117 / 129

页数：13

共 50 条

[31] CONVERGENCE OF SELF-ADAPTIVE PROJECTION METHODS WITH LINEAR SEARCH FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
Zhu, Li-Jun
Postolache, Mihai
She, Yaoyao
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (08) : 1541 - 1554
[32] Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators
Pham Ky Anh
Nguyen The Vinh
[J]. Numerical Algorithms, 2019, 81 : 983 - 1001
[33] Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators
Pham Ky Anh
Nguyen The Vinh
[J]. NUMERICAL ALGORITHMS, 2019, 81 (03) : 983 - 1001
[34] New Iterative Scheme Involving Self-Adaptive Method for Solving Mixed Variational Inequalities
Mukheimer, Aiman
Ullah, Saleem
Bux, Muhammad
Arif, Muhammad Shoaib
Abodayeh, Kamaleldin
[J]. AXIOMS, 2023, 12 (03)
[35] SOLVING VARIATIONAL INCLUSIONS AND PSEUDOMONOTONE VARIATIONAL INEQUALITIES USING SELF-ADAPTIVE TECHNIQUES
Yao, Zhangsong
Zhu, Zhichuan
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (11) : 2535 - 2545
[36] Self-adaptive operator splitting methods for monotone variational inequalities
Bingsheng He
Li-Zhi Liao
Shengli Wang
[J]. Numerische Mathematik, 2003, 94 : 715 - 737
[37] Self-adaptive operator splitting methods for monotone variational inequalities
He, BS
Liao, LZ
Wang, SL
[J]. NUMERISCHE MATHEMATIK, 2003, 94 (04) : 715 - 737
[38] A Self-Adaptive Extragradient Algorithm for Solvin Quasimonotone Variational Inequalities
Zhu, Li-Jun
Yin, Tzu-Chien
[J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
[39] Self-adaptive methods for mixed quasi-variational inequalities
Noor, MA
Bnouhachem, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (02) : 514 - 526
[40] Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities
Khunpanuk, Chainarong
Panyanak, Bancha
Pakkaranang, Nuttapol
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021

← 1 2 3 4 5 →