In this paper, we address an open question regarding common fixed points of a family of non-self mappings. More precisely, we employ the Krasnosel'skiĭ-Mann algorithm to approximate common fixed points of a countable family of Lipschitzian non-self mappings in Banach spaces under different conditions.
"The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings." Topol. Methods Nonlinear Anal. 56 (1) 325 - 348, 2020. https://doi.org/10.12775/TMNA.2020.021