The convergence analysis of the projection methods for a system of generalized relaxed cocoercive variational inequalities in Hilbert spaces

Fixexd point theory and applications

Changfeng Ma¹  Yifen Ke¹ 

[1] School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, China

关键词: generalized relaxed cocoercive variational inequalities;    projection methods;    convergence analysis;   

DOI  :  10.1186/1687-1812-2013-189

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the approximate solvability for a system of generalized relaxed cocoercive nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of the projection methods. The results presented in this paper extend and improve the main results of Refs. (Verma in Comput. Math. Appl. 41:1025-1031, 2001; Verma in Int. J. Differ. Equ. Appl. 6:359-367, 2002; Verma in J. Optim. Theory Appl. 121(1):203-210, 2004; Verma in Appl. Math. Lett. 18(11):1286-1292, 2005; Chang, Lee and Chan in Appl. Math. Lett. 20:329-334, 2007). MSC:90C33, 65K15, 58E36.

【 授权许可】

CC BY