增生算子扰动方程的迭代解  

Iterative Solution for Perturbed Equations of Accretive Operators

作　　者：张芯语 张树义[1] ZHANG Xinyu;ZHANG Shuyi(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《沈阳大学学报（自然科学版）》2019年第4期349-354,共6页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11371070)

摘　　要：研究一类集值广义Lipschitz增生算子扰动方程具误差的迭代逼近问题.在较弱条件下建立了这类集值广义Lipschitz增生算子扰动方程解的具误差迭代序列收敛性定理,获得的结果改进和推广了有关文献中的相应结果.An iterative approximation problem with errors in the perturbation equation of a class of generalized Lipschitz hyperplasia operators with set values.The convergence theorem of error iterative sequences with the solution of the perturbation equation of generalized Lipschitz hyperplasia operator of this kind of set value is established under weak conditions,and the results obtained improve and popularize the corresponding results in the relevant literatures.

关 键 词：BANACH空间 增生算子 扰动方程 集值广义Lipschitz 具误差的迭代序列 

分 类 号：O177.91[理学—数学]