self-mapping

Self-mapping is a concept where a function or process maps elements within a set to other elements in the same set. Imagine a function that takes a number from a group and produces another number in that same group, possibly the same or different. For example, turning each number into its double still keeps it within the set of real numbers. Self-mapping helps mathematicians understand relationships, structures, and behaviors within a system by analyzing how elements relate to themselves through such functions.