In Albayrak & Pehlivan (2013), we generalized the concepts of pointwise convergence, uniform convergence and alpha-convergence for sequences of functions on metric spaces by using the filters on N. In this work, we define the concepts of limit function, F-limit function and F-cluster function respectively for each of these three types of convergence, where F is a filter on N. We investigate some topological properties of the sets of F-pointwise cluster functions, F-alpha-cluster functions and F-uniform cluster functions by using pointwise and uniform convergence topologies.