An iterative method for split hierarchical monotone variational inclusions

Fixexd point theory and applications

Aisha Rehan³  Qamrul Hasan Ansari⁴ 

[1] Minerals, Dhahran, Saudi Arabia;Statistics, King Fahd University of Petroleum &Department of Mathematics &Department of Mathematics, Aligarh Muslim University, Aligarh, India

关键词: split hierarchical monotone variational inclusions;    fixed point problems;    iterative method;    maximal monotone set-valued mappings;    resolvent operators;    convergence analysis;    49J40;    47J20;    49J52;    49M05;   

DOI  :  10.1186/s13663-015-0368-4

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY