摘要 : We consider a complete metric space of nonexpansive mappings defined on a bounded and closed subset of a complete hyperbolic space with point images in the space, which take the boundary of the set into the set itself. Using the B... 展开 We consider a complete metric space of nonexpansive mappings defined on a bounded and closed subset of a complete hyperbolic space with point images in the space, which take the boundary of the set into the set itself. Using the Baire category approach, we show that most such mappings possess a unique fixed point which attracts all the iterates of these mappings. 收起