一类拟非扩张算子的不动点问题

Fixed Point Problem for a Class of Pseudo-nonexpansive Mappings

数学中许多重要的非线性问题可归结为寻找非线性函数方程解,也即是寻找一些给定的非线性映射的不动点.已有文献介绍了Banach空间中一类非线性拟非扩张算子的不动点存在定理,但未给出不动点的构造.本文中我们证明了已有结果都能用Mann迭代方法构造出来,从而给出了一类更广的构造不动点的迭代过程.

Hailin has been introduced the fixed point theorem for a class of pseudo-nonexpansive operators under certain conditions. The paper analyzes the fixed points of the pseudo-nonexpansive operators can be constructed by Mann methods.