An iterative method for split hierarchical monotone variational inclusions

作者：Ansari Qamrul Hasan^*; Rehan Aisha

来源：Fixed Point Theory and Applications, 2015, 2015(1): 121.

DOI：10.1186/s13663-015-0368-4

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

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.

• 出版日期2015-7-18
• 单位中国石油大学（北京）