Some common fixed point results in hyperbolic spaces

Abstract

In this manuscript, we investigate common fixed point results for two infinite families of uniformly L-Lipschitzian total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces which are essentially more general than asymptotically nonexpansive mappings in the intermediate sense. We prove strong convergence and ∆-convergence theorems for such mappings via Ishikawa type iterative schemes. Our results generalize, extend and improve several corresponding results in the existing literature.