关于两个拟非扩张映像的混杂投影算法及其数值实验（英文）

A New Hybrid Projection Method and Its Numerical Realization for Two Quasi-nonexpansive Mappings

在Hilbert空间中,构造了一种新的混杂投影算法用于逼近两个拟非扩张映像的公共不动点,并利用拟非扩张映像的定义和投影算子等技巧证明了其公共不动点的强收敛定理.最后,给出具体的数值实验描述了所提出算法的有效性.

In Hilbert spaces,a new hybrid projection method is proposed to approximate common fixed points of two quasi-nonexpansive mappings.A strong convergence theorem of the common fixed points is proved by using the quasi-nonexpansive mapping,the projection operator and other analysis techniques.Some numerical experiments are also included to explain the effectiveness of the proposed methods.