New iterative algorithm for two infinite families of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces (Q2375626)

Summary: We introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasi-nonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space. We also give a new proof method to the iteration in [\textit{M. Abbas} et al., Appl. Math. Lett. 24, No.~2, 97--102 (2011; Zbl 1223.47068)].