北华大学学报（自然科学版）2018，Vol.19Issue(2)：141-149,9.DOI:10.11713/j.issn.1009-4822.2018.02.001
广义变分不等式解的隐式粘滞迭代逼近
Implicit Viscosity Iterative Approximation of Solutions for Generalized Variational Inequalities
摘要
Abstract
We introduce a new kind of implicit viscosity iterative algorithms and establish the strong convergence theorems of implicit viscosity iterative algorithms to find a common element of the set of common fixed points for nonexpansive semigroups and the set of solutions of generalized variational inequalities with g-relaxed(γ,r)-cocoercive mapping in Hilbert spaces.The corresponding results in some references are extended and improved.关键词
Hilbert空间/非扩张半群/广义变分不等式/隐式粘滞迭代算法/g-松弛(γ,r)-余强制映象Key words
Hilbert spaces/nonexpansive semigroups/generalized variational inequalities/implicit viscosity iterative algorithms/g-relaxed(γ/r)-cocoercive mapping分类
数理科学引用本文复制引用
张树义,丛培根,聂辉..广义变分不等式解的隐式粘滞迭代逼近[J].北华大学学报（自然科学版）,2018,19(2):141-149,9.基金项目
国家自然科学基金资助项目(11371070) （11371070）
渤海大学研究生创新基金项目(YJC20170036). （YJC20170036）
