On SP-iteration schemes for multi-valued mappings in CAT(0) spaces

摘要

In this paper, we extend known results on convergence of SP-iterations to fixed points of nonexpansive single-valued mappings to a multi-valued version. In order to do so, we prove strong convergence theorems for SP-iteration schemes involving quasi-nonexpansive multi-valued mappings in the framework of CAT(0) spaces.