Abstract

Let ($X,d)$ be a metric spaces of hyperbolic type, $C$ be a closed and of hyperbolic type subset of $X$ and let $B(C)$ be the family of all nonempty bounded subsets of $C$. In this paper some results on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings $S,T\:C\to B(C)$ which satisfy the condition (2.1) below, are obtained.

Keywords: Multi-valued mappings; Ishikawa iterate; spaces of hyperbolic type.

MSC: 54H25, 47H10

Pages:  149$-$154     

Volume  60 ,  Issue  2 ,  2008