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

作　　者：张树义[1] 丛培根 聂辉 Zhang Shuyi;Cong Peigen;Nie Hui(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

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2期142-150,共9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隐式粘滞迭代算法,使用该算法在Hilbert空间中建立了非扩张半群公共不动点集与具有g-松弛(γ,r)-余强制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 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 

分 类 号：O177.91[理学—数学]