An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping

被引：128

作者：

Kazmi, K. R. ^{[1
]}

Rizvi, S. H. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 03期

关键词：

Split variational inclusion problem; Nonexpansive mapping; Fixed-point problem; Averaged mapping; Iterative method; OPERATORS;

D O I：

10.1007/s11590-013-0629-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce and study an iterative method to approximate a common solution of split variational inclusion problem and fixed point problem for a nonexpansive mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and fixed point problem for a nonexpansive mapping which is the unique solution of the variational inequality problem. The results presented in this paper are the supplement, extension and generalization of the previously known results in this area.

引用

页码：1113 / 1124

页数：12

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