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A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spacesGunduz, BirolAsymptotically quasi-nonexpansive mappingsCommon fixed pointConvex metric spacesIteration processStrong convergenceSuffcient conditions for the convergence of a new multistep iteration to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings in the framework of convex metric spaces are obtained. As an application, related results for a new three step iteration are derived. Our convergence results generalize and refine many known results. © 2016 All rights reserved.International Scientific Research Publications2016Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/15415https://doi.org/10.22436/jnsa.009.03.602008-1898enJournal of Nonlinear Science and Applicationsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15415