New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

Abstract

In this paper, we establish a fixed point result for a total asymptotically nonexpansive mapping along with the iterative construction of common fixed point of a finite family of these mappings in uniformly convex hyperbollic spaces. Our convergence results can be viewed not only as an analog of various existing results but also improve and generalize various results in the current literature.