Article ID: | iaor201111153 |
Volume: | 151 |
Issue: | 3 |
Start Page Number: | 489 |
End Page Number: | 512 |
Publication Date: | Dec 2011 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Yao Jen-Chih, Ceng Lu-Chuan, Ansari Hasan |
Keywords: | hierarchical structure, Hilbert space |
In this paper, we consider a variational inequality with a variational inequality constraint over a set of fixed points of a nonexpansive mapping called triple hierarchical variational inequality. We propose two iterative methods, one is implicit and another one is explicit, to compute the approximate solutions of our problem. We present an example of our problem. The convergence analysis of the sequences generated by the proposed methods is also studied.