非线性强伪压缩算子方程的三重迭代及其收敛性分析  

Three-step Iterations for and Convergence Analysis of Nonlinear Accretive Operator Equations

作　　者：马建珍[1] 

机构地区：[1]邢台学院数学系,河北邢台054001

出　　处：《绵阳师范学院学报》2007年第5期15-18,24,共5页Journal of Mianyang Teachers＇ College

摘　　要：提出了在一致光滑Banach空间中不带连续性条件的非线性增生算子方程的三重迭代程序,并研究了其收敛性问题.该文所得到的结果在更一般的条件下完善和扩展了以往的相关结论。In this paper, a three - step iterative procedure for nonlinear accretive operator equations without continuous conditions in a uniformly smooth Banach spaces has been put forward, and the problem of its convergence has also been discussed. The result we get here extends and improves the previous related results in the more general setting.

关 键 词：三重迭代 强增生映射 强伪压缩映射 非线性增生算子 收敛性 

分 类 号：O177.91[理学—数学]