NEW THREE-STEP ITERATIVE METHOD FOR SOLVING MIXED VARIATIONAL INEQUALITIES

被引：0
|
作者：
Bnouhachem, Abdellah [1 ,2 ]
Noor, Muhammad Aslam [3 ,4 ]
Sheng Zhaohan [1 ]
Al-Said, Eisa [4 ]
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
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2011年 / 8卷 / 01期
关键词：
Mixed variational inequalities; self-adaptive rules; pseudomonotone operators; resolvent operator; PROXIMAL POINT ALGORITHMS;
D O I：
10.1142/S0219876211002459
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we suggest and analyze a new three-step iterative method for solving mixed variational inequalities. The new iterate is obtained by using a descent direction. We prove that the new method is globally convergent under suitable mild conditions. Our results can be viewed as significant extensions of the previously known results for mixed variational inequalities. Since mixed variational inequalities include variational inequalities as special cases, our method appears to be a new one for solving variational inequalities. Preliminary numerical experiments are included to illustrate the advantage and efficiency of the proposed method.
引用
收藏
页码：139 / 150
页数：12
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