Δ-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces

摘要

The purpose of this paper is to introduce the mixed Agarwal–O’Regan–Sahu type iterative scheme (Agarwal et al., 2007) for finding a common fixed point of the multi-valued nonexpansive mappings in the setting of hyperbolic spaces. Under suitable conditions, some Δ-convergence theorems of the iterative sequence generated by the proposed scheme to approximate a common fixed point of multi-valued nonexpansive mappings are proved. The results presented in the paper extend and improve some recent results announced in the current literature.