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

作　　者：张树义[1] 丛培根 张芯语 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《北华大学学报（自然科学版）》2018年第1期1-12,共12页Journal of Beihua University（Natural Science）

基　　金：国家自然科学基金资助项目(11371070);渤海大学研究生创新基金项目(YJC20170036)

摘　　要：引入一种新的非扩张半群显式粘滞迭代算法,使用这种显式粘滞迭代算法,在较弱条件下,在Hilbert空间中建立了非扩张半群公共不动点集与具有α-可逆g-强单调映象的广义变分不等式解集的公共元素的强收敛定理,推广和改进了相关结果.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 

分 类 号：O177.91[理学—数学]