北华大学学报（自然科学版）2017，Vol.18Issue(6)：701-709,9.DOI:10.11713/j.issn.1009-4822.2017.06.001
非扩张映象和广义变分不等式的迭代收敛性
Iterative Convergences for Nonexpansive Mappings and Generalized Variational Inequalities
摘要
Abstract
We introduce a general viscosity iterative sequence for nonexpansive mapping and establish the strong convergence theorems of viscosity approximation method for iterative sequence to find a common element of the set of common fixed points for nonexpansive mapping and the set of solutions of generalized variational inequalities with a strongly monotone mapping in Hilbert spaces. The corresponding results in some references were extended and improved.关键词
Hillbert空间/非扩张映象/广义变分不等式/显式粘滞迭代算法/可逆-强单调Key words
Hilbert spaces/nonexpansive mapping/generalized variational inequalities/viscosity approximation method/inverse strongly monotone分类
数理科学引用本文复制引用
张树义,林媛,丛培根..非扩张映象和广义变分不等式的迭代收敛性[J].北华大学学报（自然科学版）,2017,18(6):701-709,9.基金项目
国家自然科学基金项目(11371070). （11371070）
