m-增生算子零点的广义最速下降逼近  

A Generalized Steepest Descent Approximation for the Zero of m-Accretive Operators

作　　者：刘瑞娟[1] 张子厚[1] 

机构地区：[1]上海工程技术大学基础学院,上海201600

出　　处：《应用泛函分析学报》2008年第2期170-174,共5页Acta Analysis Functionalis Applicata

基　　金：上海高校选拔培养优秀青年教师科研基金

摘　　要：使用新的分析技巧研究了对于广义最速下降逼近法收敛到m-增生算子零点的充要条件,所得结果推广了几位作者早期与最近的相应结果.A necessary and Sufficient condition is proved for generalized steepest descent approximation to converge to the zero of m-accretive operators. Related results deal with the convergence of the scheme to fixed points of pseudocontraitive maps, the recent relevant results are unified and extened.

关 键 词：增生算子 一致光滑BANACH空间 一致凸BANACH空间 伪压缩映像 

分 类 号：O177.9[理学—数学]