希尔伯特空间中的广义松弛上强制就分不等式体系及带误差的三步投影方法

Generalized system for relaxed cocoercive variational inequalities and three-stepprojection methods with errors in the setting of Hilbert space

借助于投影方法的收敛性,文章重点讨论了希尔伯特空间H中带误差的三步投影方法及其在求解一类广义松弛上强制变分不等式体系中的应用,得到了较好的结果。文中结果主要推广了S.S.Chang[6,8]等的主要结论。

Based on the convergence of projection methods, the approximate solvability of generalized system for relaxed cocoercive nonlinear variational inequality problems and three -step projection methods with errors in the setting of Hilbert space are considered. The main result in the paper improves the main results in Chang （ Refs. 1,7 ） and Verma （ Refs. 2,6 ） the references therein.