渐近非扩张半群不动点的隐式黏滞迭代逼近  

Implicit Viscosity Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Semigroups

作　　者：张树义[1] 聂辉 ZHANG Shuyi;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：《南通大学学报（自然科学版）》2020年第4期81-86,94,共7页Journal of Nantong University(Natural Science Edition)　

基　　金：国家自然科学基金项目(11371070)。

摘　　要：针对渐近类非线性映象不动点的迭代序列收敛性问题,引入了渐近非扩张半群对的隐式黏滞迭代算法,在一定条件下,在Hilbert空间建立了渐近非扩张半群对公共不动点隐式黏滞迭代序列的强收敛性定理,从而推广和改进了一些文献中的相关结果。This study aims to introduce a new implicit viscosity iterative algorithm for asymptotically nonexpansive semigroup pairs.The strong convergence theorem of implicit viscosity iterative sequences for asymptotically nonexpansive semigroup pairs with fixed points in Hilbert spaces is established under certain conditions.The results promote and improve the relevant results in some references.

关 键 词：渐近非扩张半群对 隐式黏滞迭代序列 HILBERT空间 不动点 

分 类 号：O177.91[理学—数学]