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

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.