Existence and convergence results for a class of nonexpansive type mappings in hyperbolic spaces

Abstract

We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mappingss in hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative non-trivial examples have also been discussed.

Keywords

• Reich-Suzuki type nonexpansive mapping
• hyperbolic metric space
• iteration process
• nonexpansive mapping