Auxiliary Principle and Iterative Algorithm for a System of Generalized Nonlinear Mixed Quasi-variational-like Inequalities
- 10.2991/msam-17.2017.39How to use a DOI?
- auxiliary principle; existence; iterative algorithm; system of generalized nonlinear mixed quasi-variational-like inequalities; convergence
In this paper, the auxiliary principle technique is extended to study a system of generalized nonlinear mixed quasi-variational-like inequalities in Hilbert spaces. First, we establish the existence of solutions of the corresponding system of auxiliary generalized nonlinear mixed qusi-variational-like inequalities. Then based on the existence result, we construct a new iterative algorithm. Finally, both the existence of solutions of the original problem and the convergence of iterative sequences generated by the algorithm are proved. Our results improve and extend some known results.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yali Zhao AU - Yuanyuan Sun AU - Qian Ji PY - 2017/03 DA - 2017/03 TI - Auxiliary Principle and Iterative Algorithm for a System of Generalized Nonlinear Mixed Quasi-variational-like Inequalities BT - Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017) PB - Atlantis Press SP - 172 EP - 176 SN - 1951-6851 UR - https://doi.org/10.2991/msam-17.2017.39 DO - 10.2991/msam-17.2017.39 ID - Zhao2017/03 ER -