Temporal paradoxes are incidents in time travel in which causality is twisted in a way that sometimes effects may precede causes or something must cause the impetus that travels back in time to create the impetus, locking it in a loop.
Predestination paradoxes are by far the most common. Many times other types of paradoxes can be defined similar to predestination paradoxes, which happen similarly. In a predestination paradox, someone or something must travel back in time, and have an effect on the past that supports the existence of the futrue. Without this interaction, the timeline would change and happen differently. As Braxton once put it,"A leads to B which leads to C which leads to A." One example of this is when the USS Enterprise-E traveled back in time to stop the Borg and help Zefram Cochrane to build the Pheonix and reach warp flight.
Ontological paradoxes are somewhat unusual, but still present. This paradox is when an object, or on one occasion a person, travels through time and assumes its position in the past in a way that it is not necessary for it ever to come into existence. In this way, it makes a loop motion, traveling into the past, existing through time, and then reaching the point, in which, it must travel back again to repeat this, which, through its perspective, is eternal. Do note that on most occasions, it is not by the objects own doing that moves it through time. An example of this would be when James T. Kirk traveled back in time and sold his glasses given to him by Leonard McCoy, which then in turn would return to his past self in the future. As Kirk put it, after asked by Spock whether or not they were a gift from McCoy, hinting at the fact that he was selling this sentimental gift to him, "And they will be again (a gift), that's the beauty of it."