MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
Ljubomir B. Ćirić and Nebojša T. Nikolić

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.

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

MSC: 54H25, 47H10

Pages:  149--154     

Volume  60 ,  Issue  2 ,  2008