Abstract: In this paper, a new iterative scheme for approximating
common fixed points of three uniform
Lipschitz and asymptotically quasi-nonexpansive mappings is defined, and weak
and strong convergence theorems are established for the new iterative scheme in
a uniformly convex Banach space.
Keywords and phrases: common fixed points, asymptotically quasi-nonexpansive mapping, weak and strong convergence, completely continuous, Opial’s condition.