Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem

Authors
Yali Zhao, Qian Zhang, Shuyi Zhang
Corresponding Author
Yali Zhao
Available Online November 2017.
DOI
10.2991/amms-17.2017.9How to use a DOI?
Keywords
split general mixed variational inequality problem; split general quasi-variational inequality problem; perturbed iterative algorithm;convergence
Abstract

In this paper, we introduce a split general mixed variational inequality problem, which is a natural extension of a split variational inequality problem, split general quasi-variational inequality problem in Hilbert spaces. Using the resolvent operator technique, we propose two classes of perturbed iterative algorithms for the split general mixed variational inequality problem. Further, we discuss the convergence criteria of the iterative algorithms. The results presented here extend and improve many previously known results in this area.

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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Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
Series
Advances in Intelligent Systems Research
Publication Date
November 2017
ISBN
978-94-6252-433-0
ISSN
1951-6851
DOI
10.2991/amms-17.2017.9How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Yali Zhao
AU  - Qian Zhang
AU  - Shuyi Zhang
PY  - 2017/11
DA  - 2017/11
TI  - Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 40
EP  - 44
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.9
DO  - 10.2991/amms-17.2017.9
ID  - Zhao2017/11
ER  -