文献类型：期刊文献

中文题名：拟增生算子方程的广义最速下降逼近的收敛性

英文题名：Convergence of Generalized Steepest Descent Approximation to Quasl-accretive Operators Equations

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2009

期号：1

起止页码：143

中文期刊名：应用数学学报

外文期刊名：Acta Mathematicae Applicatae Sinica

收录：CSTPCD、、CSCD2011_2012、北大核心2008、北大核心、CSCD

基金：国家自然科学基金(10271025);浙江省自然科学基金(Y606717)等资助项目.

语种：中文

中文关键词：拟增生算子;φ-强增生算子;广义最速下降逼近;一致光滑实Banach空间;局部有界算子;充要条件

外文关键词：quasi-accretive operator; φ-strongly quasi-accretive operator; generalized steepest descent approximation; uniformly smooth real Banach space; locally bounded operator; necessary and sufficient condition

中文摘要：证明了广义最速下降逼近强收敛于定义在一致光滑实Banach空间的真子集匕的局部有界拟增生算子的零点的一充要条件,相关的结果处理含φ-强拟增生算子的非线性方程迭代解的收敛性.所得的结果推广和统一如Xu和Roach,Xu、Zhang和Roach,Chidume,Zegeye和Ntatin,徐宗本和蒋耀林,Chidume,Zhou等人的相应结果.

外文摘要：A necessary and sufficient condition is proved for a generalized steepest descent approximation to converge to the zeros of quasi-accretive locally bounded operators defined on proper subsets of uniformly smooth real Banach space. Related results deal with the strongly convergence of the scheme to a solution of equations involving φ-strongly quasiaccretive operators. These results extend and unify corresponding ones by Xu and Roach, Xu Zhongben and Jiang Yaolin, Chidume, Xu, Zhang and Roach, Zhou and others.