A projection descent method for solving variational inequalities

被引:0
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作者
Abdellah Bnouhachem
Qamrul Hasan Ansari
Ching-Feng Wen
机构
[1] Nanjing University,School of Management Science and Engineering
[2] Ibn Zohr University,ENSA
[3] Aligarh Muslim University,Department of Mathematics
[4] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[5] Kaohsiung Medical University,Center for Fundamental Science
关键词
variational inequalities; self-adaptive rules; pseudomonotone operators; projection method; 49J40; 65N30;
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学科分类号
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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