CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF GENERALIZED VARIATIONAL INEQUALITIES

被引:0
作者
Jeong, Jae Ug [1 ]
机构
[1] Dongeui Uinvers, Dept Math, Busan 614714, South Korea
来源
KOREAN JOURNAL OF MATHEMATICS | 2013年 / 21卷 / 03期
关键词
Accretive mapping; Relaxed cocoercive mapping; Convergence; Variational inequality; Sunny nonexpansive retraction;
D O I
10.11568/kjm.2013.21.3.213
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce and consider a new system of generalized variational inequalities involving five different operators. Using the sunny nonexpansive retraction technique we suggest and analyze some new explicit iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.
引用
收藏
页码:213 / 222
页数:10
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