Explicit and implicit iterative schemes with balanced mappings in Hadamard spaces

Yasunori Kimura

Abstract

We obtain two different kinds of approximation theorems to a commonfixed point of a finite family of nonexpansive mappings defined on aHadamard space.  One is an explicit iterative method and the other is animplicit iterative method.  We use the idea of balanced mappings togenerate the approximate sequences.