Unique mechanics ?

I ask this questions for pure curiosity: Since the Yu-Gi-Oh world is very vast, with unique Archetypes and particular mechanics.

Exists a mechanic that makes you special summon monsters (from the Deck or GY) if your LPs are greater/less than those of your opponent?

And exists a mechanic/archetype that special summons monsters based on the number of direct attacks inflicted during the duel?