A projection descent method for solving variational inequalities

被引：0
|
作者：
Bnouhachem, Abdellah [1 ,2 ]
Ansari, Qamrul Hasan [3 ,4 ]
Wen, Ching-Feng [5 ]
机构：
[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Jiangsu, Peoples R China
[2] Ibn Zohr Univ, ENSA, Agadir, Morocco
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[5] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
variational inequalities; self-adaptive rules; pseudomonotone operators; projection method; CONVERGENT NEWTON METHOD; OPTIMIZATION;
D O I：
10.1186/s13660-015-0665-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a descent direction method for solving variational inequalities. A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the linear combination of two descent directions. Under suitable conditions, the global convergence of the proposed method is studied. Two numerical experiments are presented to illustrate the efficiency of the proposed method.
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页码：1 / 14
页数：14
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