Abstract
In this paper, we establish some common fixed point results for uniformly C-q-commuting asymptotically S-nonexpansive maps in a Banach space with semi-convex structure. We also extend the main results of Ciric [Lj. B. Ciric, Publ. Inst. Math., 49 (1991), 174-178] and [Lj. B. Ciric, Arch. Math. (BRNO), 29 (1993), 145-152] to semi-convex structure and obtain common fixed point results for Banach operator pair. The existence of invariant best simultaneous approximation in ordered semi-convex structure is also established. (C)2012. All rights reserved.