含k-次增生算子的非线性方程的迭代程序  

Iterative process of nonlinear equations involving k-subaccretive operators.

作　　者：倪仁兴[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《浙江大学学报（理学版）》2006年第5期491-495,共5页Journal of Zhejiang University（Science Edition）

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

摘　　要：建立了一般Banach空间中含k-次增生算子的非线性方程的带混合误差的Ishikawa迭代序列的强收敛性的一般性定理,所得的是任卫云等和LIU Li-shan等于最近得到的主要结果的多方面的拓广和改进,且所用方法不同于他们.Some strong convergence general theorems for the Ishikawa-type iteration procedure with mixed errors for constructing solutions of nonlinear equations of k-subaccretive operators in general Banach space were established. A quite different method was used and the results improve, extend and unify those obtained by REN Wei-yun and HE Zhen, LIU Li-shan and the other authors in some aspects.

关 键 词：K-次增生算子 带混合误差的Ishikawa迭代序列 BANACH空间 

分 类 号：O177.91[理学—数学]