Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
Lishan Liu, Chun Liu, Fang Wang, Yonghong Wu · The Journal of Nonlinear Sciences and Applications · 2016
In this paper, we study a general iterative process strongly converging to a common fixed point of an asymptotically nonexpansive semigroup \(\{T(t) : t \in \mathbb{R }^+\}\) in the framework of reflexive and strictly convex spaces with a uniformly Gáteaux differentiable norm. The process also solves some variational inequalities. Our results generalize and extend many existing results in the research field.