godan verb (-u)
mutually recognize; accept each other; agree to acknowledge
Used when two or more parties acknowledge each other's existence, rights, feelings, or status. Often implies a reciprocal, sometimes formal, acceptance.
お互いの努力を認め合うことが大切だ。
It is important to mutually recognize each other's efforts.
両国は国境線
The two countries signed a treaty to mutually recognize the border.