If two objects are moving towards each other at the speed of light, according to the theory of relativity ....

If two objects are moving towards each other at the speed of light, according to the theory of relativity each object does not recognize its own speed and the object coming towards it while appearing to be moving at the speed of light would actually be moving twice as fast. Is this correct? If an object is moving away from another object, does the object appear unchanging? Would you see the same scene infinitely behind you?