2Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad, Pakistan
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.