任意Banach空间中的非线性Lipschitz强伪压缩算子不动点的迭代逼近  

Convergence of Operator Equations for Nonlinear Lipschitz Strong Pseudocontractions in Arbitrary Banach Spaces

作　　者：刘俊先[1] 马建珍[1] 

机构地区：[1]邢台学院数学系,河北邢台054001

出　　处：《南昌大学学报（理科版）》2008年第1期25-27,共3页Journal of Nanchang University(Natural Science)

摘　　要：在任意Banach空间中,对非线性增生和强伪压缩算子方程引入三重迭代程序,在Lipschitz条件下研究其收敛性问题.把一重及二重迭代推广到三重迭代,使得[5]和[1]成了本文的推论。It introduces three - step iterative process into nonlinear accretive and strong pseudo - contractions operator equations in an arbitrary real Banach space, and its convergence under Lipschitz circumstances. It extends Mann iterative and Ishikawa iterative to three -step iterative, and main results of [ 5 ] and [ 1 ] become the corollaries of this thesis.

关 键 词：强增生 强伪压缩算子 三重迭代 ISHIKAWA迭代 MANN迭代 

分 类 号：O177.91[理学—数学]