Convergence of the ishikawa iterates for multi-valued mappings in convex metric spaces

Abstract

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