A General System of Regularized Non-convex Variational InequalitiesLee BS1 and Salahuddin S2*
- *Corresponding Author:
- Salahuddin S
Department of Mathematics, Jazan University
Jazan, Kingdom of Saudi Arabia
Tel: 966 7 321 0061
E-mail: [email protected]
Received May 21, 2014; Accepted May 27, 2014; Published June 25, 2014
Citation: Lee BS, Salahuddin S (2014) A General System of Regularized Nonconvex Variational Inequalities. J Appl Computat Math 3: 169. doi: 10.4172/2168-9679.1000169
Copyright: © 2014 Lee BS, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this communication, we introduced a general system of regularized non-convex variational inequalities (GSRNVI) and established an equivalence between this system and fixed point problems. By using this equivalence we define a projection iterative algorithm for solving GSRNVI, we also proved existence and uniqueness of GSRNVI. The convergence analysis of the suggested iterative algorithm is studied.