一致连续强伪压缩算子方程解的迭代逼近

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

设E是任意Banach空间,对非线性增生和强伪压缩算子方程引入三重迭代程序,在一致连续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Chidume和Osilike的主要结论成了本文的推论.

Introduce three-step iterative process on nonlinera accretive and strong pseudo-contractions operator equations in an arbitrary real Banach spaces,and its convergence separately under Lipschitz and uniformly continuous circumstances. This results improve the main conclusion of Chidume and Osilike. It extends Mann iterative and Ishikawa iterative to three-step iterative,and it makes the main conclusion of Chidume and Osilike become the inference of this thesis.