Журнал прикладной и вычислительной математики

Δ-Convergence Theorems for Multivalued Non-expansive Mappings in Hyperbolic Spaces

Abstract

Xian-Cai Lei

The purpose of this paper is that iteration scheme of multivalued non-expansive mappings in Banach spaces is extended to hyperbolic spaces and to prove some Δ−convergence theorems of the mixed type iteration process to approximating a common fixed point for two multivalued non-expansive mappings and two non-expansive mappings in hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature.