关于带m-增生算子扰动的非线性方程具误差的强收敛迭代序列  

Strong Convergence Iterative Sequence with Error of Nonlinear Equation with m-proliferated Operator Disturbance

作　　者：陈永红[1,2] 刘英[3] 

机构地区：[1]华北电力大学电子与通信工程系,河北保定071003 [2]中国通信建设第一工程局,河北保定071051 [3]河北大学数学与计算机学院,河北保定071002

出　　处：《江汉大学学报（自然科学版）》2009年第2期9-11,共3页Journal of Jianghan University：Natural Science Edition

摘　　要：研究了在任意Banach空间,形如f∈Tx+Ax+Cx的非线性方程的解的逼近问题.其中T:E→2E为m-增生的,A:E→E是增生的,C:E→E是一个满足适当条件的非线性映射.构造了一个新的迭代序列,求得这一迭代序列的极限即为该方程的逼近解,从而推广了有关文献中的某些结果.To research the approaching problem of solution of nonlinear equations whose form likes f∈Tx＋Ax＋Cx, under the arbitrary Banach space. Among them, T： E→2^E is m-proliferated, A： E→E is proliferated, C ： E→E is a nonlinear mapping which satisfies some proper conditions. Constructs a new iterative sequence, the solution shows the limit of the iterative sequence is the approaching solution of the equation, thus extends some results in related researches.

关 键 词：M-增生算子 lshikawa迭代序列 带扰动的非线性方程 正规对偶映射 

分 类 号：O177.92[理学—数学]