Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

Auxiliary Principle and Iterative Algorithm for a System of Generalized Nonlinear Mixed Quasi-variational-like Inequalities

Authors
Yali Zhao, Yuanyuan Sun, Qian Ji
Corresponding Author
Yali Zhao
Available Online March 2017.
DOI
https://doi.org/10.2991/msam-17.2017.39How to use a DOI?
Keywords
auxiliary principle; existence; iterative algorithm; system of generalized nonlinear mixed quasi-variational-like inequalities; convergence
Abstract
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.
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Proceedings
2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2017
ISBN
978-94-6252-324-1
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-17.2017.39How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  - 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  - https://doi.org/10.2991/msam-17.2017.39
ID  - Zhao2017/03
ER  -