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

Year 2022, Volume: 40 Issue: 2, 227 - 234, 06.06.2022

Safeer Hussain Khan Amna Kalsoom Maliha Rashıd Lariab Shahıd

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

References

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