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 35 条

[1]

[Anonymous], 1971, Mathematical Programming

[2] A new projection and contraction method for linear variational inequalities [J].