含k-次增生算子方程(1–k)x+Tx=f解的Ishikawa迭代逼近  

The Ishikawa iterative solution with mixed errors of the equation(1-k)x+Tx=f for a k-subaccretive operation

作　　者：冉凯[1] 李岚[1] 陈广锋[1] 

机构地区：[1]西安文理学院数学系,陕西西安710065

出　　处：《纯粹数学与应用数学》2009年第1期72-79,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(10571113).

摘　　要：在一致光滑的实Banach空间中,研究当T为k-次增生算子时,非线性方程(1-k)x+Tx=f具混合误差的Ishikawa迭代解,给出了强收敛定理,并对Ishikawa迭代程序关于含k-次增生算子方程(1-k)x+Tx=f的稳定性进行了讨论,推广和改进了近期一些文献的相关结果.We investigative the Ishikawa iterative solution with mixed errors for the nonlinear equation （1 - k）x ＋ Tx = f in the uniformly smooth Banach space, where T is a k-subaccretive operator, we obtain a strong convergence theorem, and we discuss the stability of Ishikawa iterative processes for the nonlinear equation （1 - k）x ＋ Tx = f containing a k-subaccretive operator. These results improve and external some authors corresponding results.

关 键 词：K-次增生算子 几乎T-稳定 一致光滑的实Banach空间 

分 类 号：O177.91[理学—数学]