关于非扩张映像和非扩张半群的单调混杂算法

Monotone Hybrid Method for Nonexpansive Mappings and Nonexpansive Semigroups

在Hilbert空间中,使用单调混杂算法,修正了由Zhao等引进的隐迭代格式,分别对一族有限个非扩张映像和非扩张半群证明了强收敛定理。同时,也使用这种算法来逼近单调算子的零点,并得到强收敛定理。

In Hilbert spaces, using monotone hybrid method, we modify an implicit iteration scheme introduced by J. Zhao et al. for a finite family nonexpansive mappings and a nonexpansive semigroup, and prove strong convergence theorems. Meanwhile, this method was applied to approximate zero-point of monotone operators and obtain strong convergence theorem.