广义最速下降逼近拟增生算子的零点  

A Generalized Steepest Descent Approximation for the Zeros of Quasi-accretive Operators

作　　者：倪仁兴[1] 

机构地区：[1]绍兴文理学院数学系,绍兴312000

出　　处：《数学物理学报（A辑）》2006年第2期297-305,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(10271025);浙江省自然科学基金(102002)资助

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．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.

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 

分 类 号：O177.91[理学—数学]