On coincidence theorems for a family of mappings in convex metric spaces

Abstract

In this paper, a theorem on common fixed points for a family of mappings defined on convex metric spaces is presented. This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point theorem in metric spaces with a convex structure is obtained.

Keywords

• common fixed points
• convex metric spaces
• metric spaces with a convex structure.