增生型算子方程解的具有混合误差项的迭代程序  

Iterative process with mixed errors of solutions for accretive type operator equations

作　　者：崔继贤[1] 龚晓岚 

机构地区：[1]齐齐哈尔大学数学系,黑龙江齐齐哈尔161006 [2]齐齐哈尔铁路运输职工大学,黑龙江齐齐哈尔161000

出　　处：《黑龙江大学自然科学学报》2006年第3期418-420,共3页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省自然科学基金资助项目(A0012)

摘　　要：设E是任意实Banach空间,T:E→E是Lipschitz增生算子,在没有条件limn→∞αn=limn→∞βn=0之下,证明了非线性算子方程x+Tx=f解的具有混合误差项的Ishikawa迭代程序的收敛性问题,并提供了收敛率的估计.结果改进和推广了近期的一些相关结果.Let E be an arbitrary real Banach space, and T：E→E be a Lipschitz accretive operator. Under the lack of the condition limn→∞αn = lim n→∞βn =0, the convergence of Ishikawa iterative process with mixed errors for solutions of the nonlinear equation x ＋ Tx =f is proved, and a convergence rate estimate is provided. These results improve and extend some recent corresponding results.

关 键 词：增生算子 强增生算子 具混合误差项的Ishikawa迭代程序 Banach空间 

分 类 号：O177.91[理学—数学]