文献类型：期刊文献

中文题名：广义最速下降逼近拟增生算子的零点

英文题名：A Generalized Steepest Descent Approximation for the Zeros of Quasi-accretive Operators

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2006

卷号：26

期号：2

起止页码：297

中文期刊名：数学物理学报：A辑

收录：CSTPCD、、北大核心2004、CSCD2011_2012、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(102002)资助

语种：中文

中文关键词：拟增生算子;φ-强拟增生算子;拟伪压缩算子;一致光滑空间;广义最速下降逼近;非线性方程的零点

外文关键词：Quasi-accretive operators; φ-strongly quasi-accretive operators; Quasi-pseudocontractive operators; Generalized steepest descent approximation; Zeros of nonlinear operatorsequation.

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空间的真子集上的有界拟增生算子的零点的一充要条件,几个相关的结果处理含-强拟增生算子方程解或拟伪压缩映射不动点的强收敛性．所得的这些结果推广和统一了许多前人的近期相应结果．

外文摘要：A necessary and sufficient condition is proved for a generalized steepest descent approximation to converge to the zeros of bounded quasi-accretive operators defined on proper subsets of uniformly smooth real Banach space. Some related results deal with the strong con- vergence of the scheme to a solution of equations involving φ-strongly quasi-accretive operators and fixed points of quasi-pseudocontractive map. These results extend and unify the recent corresponding ones by many authors.