Additional Information
| Author(s) | Fukhar-ud-din, Hafiz |
|---|
Existence and approximation of a fixed point of a fundamentally nonexpansive mapping in hyperbolic spaces
Fukhar-ud-din, Hafiz
Abstract
carpathian_2020_36_1_71_80_abstractDOI:https://doi.org/10.37193/CJM.2020.01.07
We prove that a fundamentally nonexpansive mapping on a compact and convex subset of a hyperbolic space, has a fixed point. We also show that one-step iterative algorithm of two mappings is vital for the approximation of a common fixed point of two fundamentally nonexpansive mappings in a strictly convex hyperbolic space. Our results are new in metric fixed point theory and generalize several existing results.
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