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

作　　者：张树义[1] 林媛[1] 丛培根 Zhang Shuyi;Lin Yuan;Cong Peigen(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）》2017年第6期701-709,共9页Journal of Beihua University（Natural Science）

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

摘　　要：引入更为一般的非扩张显式粘滞迭代算法,利用此迭代算法在Hilbert空间中建立了非扩张映象的公共不动点集与具有强单调映象的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 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 

分 类 号：O177.91[理学—数学]