Strong convergence of Halpern's type iteration for α-nonexpansive semigroup in Banach spaces and CAT(0) spaces
Dolapo Muhammed Oyetunbi, Abdul Rahim Khan · Fixed Point Theory · 2024
In this paper, we establish strong convergence of the Halpern's type iteration for a semigroup of α-nonexpansive mappings in Banach spaces.Using the concept of quasilinearization, we extend this result to CAT (0) spaces, an important subclass of metric spaces.Our work generalizes and complements several comparable results existing in the literature.