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...

Full description

Bibliographic Details

Published in:	Demonstratio Mathematica
Main Authors:	Aggarwal Sajan, Uddin Izhar
Format:	Article
Language:	English
Published:	De Gruyter 2019-09-01
Subjects:	hyperbolic metric space nearly asymptotically nonexpansive mapping fibonacci-mann iteration monotone non-lipschitzian mapping fixed point theorems 47h10 54h25
Online Access:	https://doi.org/10.1515/dema-2019-0030