Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps‎ ‎on nonlinear domains

Abstract

We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive‎ ‎maps on a special class of nonlinear spaces namely hyperbolic metric spaces;‎ ‎in particular‎, ‎strong and $\triangle‎-‎$convergence theorems for the proposed‎ ‎algorithms are established in a uniformly convex hyperbolic space which‎ ‎improve and extend the corresponding known results in uniformly convex‎ ‎Banach spaces‎. ‎Our new results are also valid in geodesic spaces.