一类新的具有扰动m-增生算子的非线性方程迭代算法(英文)  

A new iterative process for nonlinear equations with perturbed m-accretive operators

作　　者：曹寒问[1] 桂卫军[1] 谢晨妤[2] 蔡志文[2] 

机构地区：[1]南昌工程学院理学系,江西南昌330099 [2]南昌工程学院土木与建筑工程学院,江西南昌330099

出　　处：《南昌工程学院学报》2013年第1期29-33,共5页Journal of Nanchang Institute of Technology

基　　金：Supported by Youth Science Foundation of Jiangxi Provincial Department of science and Technology(No.20122BAB211021)~~

摘　　要：设X是具有Gteaux可微的一致凸Banach空间,T:X→X是一致连续的m-增生算子,C:X→X是非线性算子,并且存在某个λ>0,使得(I-λC)(I+λT)-1是非膨胀的.引入一类新的具有扰动m-增生算子的非线性方程迭代算法,并证明此算法强收敛于方程Tx+Cx=0的某个解.Let X be a uniformly convex Banach space whose norm is uniformly Gateaux differentiable. Let T： X → X be a uni- formly continuous m-accretive operator, C：X→ X a nonlinear operator such that （I - λC） （I ＋ λT）^-1 is nonexpansive for some λ 〉0. In this paper, a new iterative process for the nonlinear equation with perturbed m-accretive operators is introduced and it is proved that the iterative process converges strongly to a solution of equation Tx ＋ Cx = 0.

关 键 词：增生算子 扰动方程 迭代过程 非膨胀映射 

分 类 号：O177[理学—数学]