Approximating common fixed points in hyperbolic spaces
Hafiz Fukhar-ud-din, Mohamed A. Khamsi · Fixed Point Theory and Applications · 2014
We establish strong convergence and Δ-convergence theorems of an iteration scheme associated to a pair of nonexpansive mappings on a nonlinear domain. In particular we prove that such a scheme converges to a common fixed point of both mappings. Our results are a generalization of well-known similar results in the linear setting. In particular, we avoid assumptions such as smoothness of the norm, necessary in the linear case. MSC:47H09, 46B20, 47H10, 47E10.