Abstract
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.
| Original language | English |
|---|---|
| Article number | 121 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 28 Dec 2015 |
Bibliographical note
Publisher Copyright:© 2015, Ansari and Rehan.
Keywords
- convergence analysis
- fixed point problems
- iterative method
- maximal monotone set-valued mappings
- resolvent operators
- split hierarchical monotone variational inclusions
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics
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