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

DOI

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.

Copyright

© 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/).

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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  -