北华大学学报（自然科学版）2018，Vol.19Issue(1)：1-12,12.DOI:10.11713/j.issn.1009-4822.2018.01.001
非扩张半群公共不动点与广义变分不等式 解的迭代收敛性
Iterative Convergences of Common Fixed Points for Nonexpansive Semigroups and Solutions for Generalized Variational Inequalities
摘要
Abstract
We introduce a new kind of explicit viscosity iterative algorithms for nonexpansive semigroups,and by using this kind of explicit viscosity iterative algorithms,the strong convergence theorems 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 α-inverse g-strongly monotone mapping in Hilbert spaces are established under the weaker condition. This paper extends and improves the corresponding results.关键词
Hilbert空间/非扩张半群/广义变分不等式/显式粘滞迭代算法/α-可逆g-强单调映象Key words
Hilbert spaces/nonexpansive semigroups/generalized variational inequalities/explicit viscosity iterative algorithms/α-inverse g-strongly monotone分类
数理科学引用本文复制引用
张树义,丛培根,张芯语..非扩张半群公共不动点与广义变分不等式 解的迭代收敛性[J].北华大学学报（自然科学版）,2018,19(1):1-12,12.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）
