Banach空间中增生算子方程的Ishikawa迭代解  

Ishikawa Iterative Solution for the Equation Involving Accretive Operators in Banach Space

作　　者：张树义[1] 

机构地区：[1]渤海大学数学系,锦州121000

出　　处：《数学理论与应用》2005年第2期26-29,共4页Mathematical Theory and Applications

摘　　要：在没有∑∞n=0αnβn<∞的更弱条件下,使用与完全不同的方法,证明了Ishikawa迭代序列强收敛Lipschitz连续的增生算子T的方程x+Tx=f的唯一解,并提供了更为全面和一般的收敛率的估计.本文结果是引文[3-4]中相应结果的统一和发展.By using me th od that is entirely different from references,Ishikawa iterative sequence conver ges strongly to the unique solution of equation x+Tx=f with a Lipschitz cont inuo us accretive optorator T is proved under the lack of assumption that ∑∞ n=0αnβn<∞,a overall and general convergence rate estimate for suc h a sequence is given ,which extend and unify corresponding results of [3-4].

关 键 词：Ishikawa迭代解 BANACH空间 增生算子方程 ISHIKAWA迭代序列 LIPSCHITZ连续 弱条件 唯一解 强收敛 收敛率 中相 估计 

分 类 号：O177[理学—数学]