Convergence and stability of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping

In this paper, we prove strong convergence and Δ−convergence of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping (i.e. nearly asymptotically nonexpansive mapping) in partially ordered hyperbolic metric space. Moreover, we prove stability of Fibonacci-Mann iteration. Further, we const...

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Bibliographic Details
Main Authors: Aggarwal Sajan, Uddin Izhar
Format: Article
Language:English
Published: De Gruyter 2019-09-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2019-0030