Strong Convergence of Mann’s Iteration Process in Banach Spaces

Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a Fréchet differentiable norm), but not strongly even...

Full description

Bibliographic Details
Main Authors: Hong-Kun Xu, Najla Altwaijry, Souhail Chebbi
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/6/954