强伪压缩映射不动点具随机误差的MANN迭代过程的稳定性研究(英文)

Stability of the Mann Iterative Process with Random Errors for Fixed Points of Strongly-Pseudocontractive Mappings

假设X是实Banach空间 ,T :X→X是Lipschitz强伪压缩映射 .证明了对T的不动点的具随机误差的Mann迭代过程相对T是几乎稳定的 .同时 。

Suppose that X is a real Banach space and T:X→X is Lipschitz strongly pseudocontractive.It is proved that certain Mann iterative process with random errors for the fixed point of T is almost stable respect to T .A related result is obtained that deals with stability of the Mann iterative process with random errors for the solution of nonlinear equation with strongly accretive mapping.The corresponding results of Osilike are improved.