Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings

In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our results extend and improve some recent results.  2003 Elsevier Inc. All rights reserved