An iterative method for split hierarchical monotone variational inclusions

被引：13

作者：

Ansari, Qamrul Hasan ^{[1
,2
]}

Rehan, Aisha ^{[1
]}

机构：

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

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

split hierarchical monotone variational inclusions; fixed point problems; iterative method; maximal monotone set-valued mappings; resolvent operators; convergence analysis;

D O I：

10.1186/s13663-015-0368-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a split hierarchical monotone variational inclusion problem (SHMVIP) which includes split variational inequality problems, split monotone variational inclusion problems, split hierarchical variational inequality problems, etc., as special cases. An iterative algorithm is proposed to compute the approximate solutions of an SHMVIP. The weak convergence of the sequence generated by the proposed algorithm is studied. We present an example to illustrate our algorithm and convergence result.

引用

页数：10

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