Banach空间中一列λ-严格伪压缩映射的强收敛定理

Strong convergence theorem for an infinite family of strict pseudo-contractions in Banach spaces

介绍了在Banach空间中一列λ-严格伪压缩映射公共不动点的一种新的混合迭代方法。然后,建立了在某些适当条件下得到的迭代算法的强收敛定理。改进和推广了最近的一些相关结果。

In this paper,we introduce a new composite iterative process for computing fixed points of a infinite family strict pseudo - contractions in the framework of Banach spaces. Then, we establish the strong convergence of the proposed iterative- scheme under some mild conditions. Our results improve and extend the recentcorresponding results.