Fixed points of generalized hybrid mappings in 2-uniformly convex hyperbolic metric spaces

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:40 Issue:2
Fixed points of generalized hybrid mappings in 2-uniformly convex hyperbolic metric spaces

Fixed points of generalized hybrid mappings in 2-uniformly convex hyperbolic metric spaces

Authors : Safeer HUSSAİN KHAN, Amna KALSOOM, Maliha RASHID, Lariab SHAHID

Pages : 227-234

View : 26 | Download : 9

Publication Date : 2022-06-06

Article Type : Research Paper

Abstract :In this manuscript, we introduce generalized hybrid mappings in hyperbolic metric spaces. We first show that the set of fixed points of such mappings is closed and convex. We then prove the existence of fixed point of these mappings and finally approximate the fixed point using Mann iterative process. We have also provided an example of generalized hybrid mappings in the setting of -trees for the first time in the literature.
Keywords : Hybrid Mapping, Fixed Point, Hyperbolic Metric Spaces

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