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Mathematical Problems in Engineering
Volume 2016, Article ID 5937016, 6 pages
Research Article

Split General Strong Nonlinear Quasi-Variational Inequality Problem

College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China

Received 27 April 2016; Accepted 11 October 2016

Academic Editor: Hung-Yuan Chung

Copyright © 2016 Yali Zhao and Dongxue Han. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce a split general strong nonlinear quasi-variational inequality problem which is a natural extension of a split general quasi-variational inequality problem, split variational inequality problem, and quasi-variational and variational inequality problems in Hilbert spaces. Using the projection method, we propose an iterative algorithm for the split general strongly nonlinear quasi-variational inequality problem and discuss the convergence criteria of the iterative algorithm. The results presented here generalized, unify, and improve many previously known results for quasi-variational and variational inequality problems.