Fixed point approximation of generalized nonexpansive mappings in hyperbolic spaces (Q1751358)

Summary: We prove strong and \(\Delta\)-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to \textit{R. P. Agarwal} et al. [J. Nonlinear Convex Anal. 8, No. 1, 61--79 (2007; Zbl 1134.47047)]. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces.