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Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
Journal article   Open access

Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces

Hafiz Fukhar-ud-din, Abdul Rahim Khan and Nawab Hussain
The journal of nonlinear sciences and its applications, Vol.10(2), pp.771-779
27/02/2017
DOI: https://doi.org/10.22436/jnsa.010.02.37

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307-310] is established both for Delta-convergence and strong convergence in CAT(0) spaces. (C) 2017 All rights reserved.
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