Fixed points of generalized hybrid mappings in 2-uniformly convex hyperbolic metric spaces
1Government College University, Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
2Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad, Pakistan
2Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad, Pakistan
Sigma J Eng Nat Sci 2022; 40(2): 227-234 DOI: 10.14744/sigma.2022.00027
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 R-trees for the first time in the literature.
Keywords: Hybrid Mapping; Fixed Point; Hyperbolic Metric Spaces
