Some convergence results for nonexpansive mappings in uniformly convex hyperbolic spaces. (English) Zbl 1413.47132
Summary: In this paper, we establish some strong and \(\Delta\)-convergence theorems of an iteration process for approximating a common fixed point of three nonexpansive mappings in a uniformly convex hyperbolic space. The results presented here extend and improve various results in the existing literature.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
47H10 | Fixed-point theorems |
54H25 | Fixed-point and coincidence theorems (topological aspects) |