Kiziltunc H.2025-04-102025-04-102014http://hdl.handle.net/20.500.14701/49684In this paper, we introduce a new class of Lipschitzian maps and prove some weak and strong convergence results for explicit iterative process using a more satisfactory definition of self mappings. Our results approximate common fixed point of a total asymptotically quasi-I-nonexpansive mapping T and a total asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space. © 2014, University of Nis. All rights reserved.Onweak and strong convergence of an explicit iteration process for a total asymptotically quasi-I-nonexpansive mapping in banach spaceArticle10.2298/FIL1408699K