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A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spacesGunduz, BirolAkbulut, SezginCommon fixed pointI-nonexpansive mapImplicit iterative processKohlenbach hyperbolic spaceStrong convergenceΔ -convergenceThe purpose of the present paper is threefold. First, to give definition of I-nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hyperbolic space. In addition, an example is provided to validate our result. Our results extend some existing results. © 2016, The Author(s).Springer Medizin2016Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/14845https://doi.org/10.1007/s40096-016-0178-92008-1359enMathematical Sciencesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14845