Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
Amna Kalsoom, Maliha Rashid, Tian-Chuan Sun, Amna Bibi, Abdul Ghaffar, Ayman A. Aly · Journal of Function Spaces · 2021
In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.