We define Mann iterative scheme in CAT(0) spaces and obtain Δ-convergence and strong convergence of the iterative scheme to a fixed point of multi-valued nonexpansive non-self mappings. We also obtain strong convergence of the scheme to a fixed point of multi-valued quasi-nonexpansive non-self mappings under appropriate conditions. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
All Science Journal Classification (ASJC) codes
- General Mathematics