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From Sonic Retro

Mighty using the Wall Jump in Knuckles' Chaotix

The Wall Jump was first introduced in Knuckles' Chaotix, and also appears in Sonic Unleashed. When a character capable of using the Wall Jump jumps again while pressed against a wall, they will kick off of the wall. In Knuckles' Chaotix and Sonic Unleashed, the Wall Jump propels the character upward and sideways. In Sonic Heroes a similar move known as Triangle Jump was introduced. Unlike it's predecessor, it can only propel the character horizontally.

Putting The Wall Jump to Good Use: Gameplay Tips

In Knuckles' Chaotix the Wall Jump can be used to scale walls as Mighty. Simply aim back towards the wall, and continually jump off of the same wall.