Convergence of the Ishikawa iterates for multi-valued mappings in metric spaces of hyperbolic type. (English) Zbl 1199.54217

Ćirić, Ljubomir B.; Nikolić, Nebojša T.

Mat. Vesn. 60, No. 2, 149-154 (2008).

Let \(C\) be a closed and convex subset of a convex metric space, and \(B(C)\) the collection of all nonempty bounded subsets of \(C\). A theorem is proved on the convergence of the Ishikawa iterative scheme associated to a pair of set-valued mappings \(S,T:C\to B(C)\) to a common fixed point for \(S\) and \(T\).

Reviewer: Ljubiša Kočinac (Niš)

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
47H10	Fixed-point theorems

Keywords:

convex metric space; stationary point