A new system of generalized nonlinear relaxed cocoercive variational inequalities

作者：Ding Ke^*; Yan Wen Yong; Huang Nan Jing

来源：Journal of Inequalities and Applications, 2006, 40591.

DOI：10.1155/JIA/2006/40591

We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed cocoercive variational inequalities in Hilbert spaces. We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the convergence of iterative sequences generated by the algorithm. We also study the convergence and stability of a new perturbed iterative algorithm for approximating the solution. Copyright (C) 2006 Ke Ding et al. 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.

• 出版日期2006
• 单位四川大学