Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem

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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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  -