If we are talking about the intel..... Then mapped I/O refers to address space..... I'll explain...
On most micro controllers ports, modules and peripherals are set in stone... Each has several address in memory SFR's ( RAM) that controls their actions.. The Intel micro also has SFR's for the basic stuff.. BUT! can also have mapped I/O... If you place an LCD at some arbitrary address.. ie.. 0xA000... You can read and write to that address, the same as you would if it were an SFR...