Fixed points and common fixed points of mappings on CAT(0) spaces

摘要

In this paper, we will consider the problem of existence of common fixed points for twomappings T and S on a CAT(0) space X. We will suppose that T and S belong to the class ofmappings satisfying a generalization of Suzuki’s condition (C). Our result improves a number ofvery recent results of A. Abkar, M. Eslamian in [2] and, as well as, those of B. Nanjaras et al. in [3].