Triple-hierarchical problems with variational inequality

<p style='text-indent:20px;'>In this paper, we suggest and analyze an iterative scheme for finding the triple-hierarchical problem in a real Hilbert space. We also consider the strong convergence for the proposed method under some assumptions. Our results extend ones of Ceng et. al (2011) [<xref ref-type="bibr" rid="b2">2</xref>], Yao et. al (2011) [<xref ref-type="bibr" rid="b24">24</xref>].</p>

Strong Convergence of an Iterative Algorithm for Hierarchical Problems

We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions. Our results extend those of Yao et al., Iiduka, Ceng et al., and other authors.