@article{Guran2023, 
author = {Liliana Guran and Khushdil Ahmad and Khurram Shabbir and Monica-Felicia Bota},
title = {Computational comparative analysis of fixed point approximations of generalized    α-nonexpansive mappings in hyperbolic spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {2489-2507},
keywords = {hyperbolic space, fixed point, generalized α-nonexpansive mapping, Picard-Thakur hybrid iteration},
url = {https://www.sciopen.com/article/10.3934/math.2023129},
doi = {10.3934/math.2023129},
abstract = {In this article, we use the Picard-Thakur hybrid iterative scheme to approximate the fixed points of generalized    α-nonexpansive mappings. For generalized    α-nonexpansive mappings in hyperbolic spaces, we show several weak and strong convergence results. It is proved numerically and graphically that the Picard-Thakur hybrid iterative scheme converges more faster than other well-known hybrid iterative methods for generalized    α-nonexpansive mappings. We also present an application to Fredholm integral equation.}
}