A latching switch is a switch that maintains its state after being activated. A push-to-make, push-to-break switch would therefore be a latching switch - each time you actuate it, whichever state the switch is left in will persist until the switch is actuated again.
ABB E256 latching relay
ABB E256 latching relay
Moeller Z-S230 latching relay
Moeller Z-S230 latching relay
wiring diagram of latching switch
wiring diagram of latching switch
example of latching switch using GE PLS+ relay
example of latching switch using GE PLS+ relay