Some fixed points properties, strong and ∆-convergence results for generalized α-nonexpansive mappings in hyperbolic spaces
Abstract
In this paper, we introduce and study some fixed points properties and demiclosedness principle for generalized α-nonexpansive mappings in the frame work of uniformly convex hyperbolic spaces. We further establish strong and ∆-convergence theorems for Picard Normal S-iteration scheme generated by a generalized α-nonexpansive mapping in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces and many other results in this direction.
Copyright © 2018 A. A. Mebawondu, C. Izuchukwu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. A. Mebawondu, C. Izuchukwu, Some fixed points properties, strong and ∆-convergence results for generalized α-nonexpansive mappings in hyperbolic spaces, Adv. Fixed Point Theory 8 (2018), 1–20. https://doi.org/10.28919/afpt/3415
BibTeX
@article{Mebawondu2018,
author = {Mebawondu, A. A. and Izuchukwu, C.},
title = {Some fixed points properties, strong and ∆-convergence results for generalized α-nonexpansive mappings in hyperbolic spaces},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {1--20},
doi = {10.28919/afpt/3415}
}