算子方程x+THx=f的带误差的Ishikawa迭代解  

The Ishikawa Iterative Process with Errors for the Solution of the Equation x+THx=f

作　　者：刘文军[1] 孟京华[1] 张珍珍[1] 邹国辉[1] 

机构地区：[1]九江学院理学院数学系,江西九江332000

出　　处：《江西师范大学学报（自然科学版）》2009年第4期488-493,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金(2007GQS0142)资助项目

摘　　要：给出了L-S-次逆增生算子H的定义.在一致光滑Banach空间中建立了收敛于方程x+THx=f的带误差的Ishikawa迭代序列,其中T是k-次增生算子,H是L-S-次逆增生算子,推广和改进了一些已有结果.The concept of L-S-converse subaccretive operator is given. The strong convergence of Ishikawa iterative process with errors for a solution of the eqation x ＋ THx =f is established, where T is a k-subaccretive operator, H is L-S-converes subaccretive operator in a uniformly smooth Banach space. Some well-known results are generalized.

关 键 词：K-次增生算子 L-S-次逆增生算子 带误差的Ishikawa迭代过程 

分 类 号：O177.91[理学—数学]