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Implicit iterative method for hierarchical variational inequalities

L-C Ceng Qamrul Hasan Ansari Ngai-Ching Wong J-C Yao

Functional Analysis mathscidoc:1910.43688

Journal of Applied Mathematics, 2012, 2012
We introduce a new implicit iterative scheme with perturbation for finding the approximate solutions of a hierarchical variational inequality, that is, a variational inequality over the common fixed point set of a finite family of nonexpansive mappings. We establish some convergence theorems for the sequence generated by the proposed implicit iterative scheme. In particular, necessary and sufficient conditions for the strong convergence of the sequence are obtained.
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@inproceedings{l-c2012implicit,
  title={Implicit iterative method for hierarchical variational inequalities},
  author={L-C Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong, and J-C Yao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210655476527217},
  booktitle={Journal of Applied Mathematics},
  volume={2012},
  year={2012},
}
L-C Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong, and J-C Yao. Implicit iterative method for hierarchical variational inequalities. 2012. Vol. 2012. In Journal of Applied Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020210655476527217.
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