Player hanging on objects.

Hi, I am trying to make player hang, then climb on object. That's what I have in hanging script (attached to an object):

     void OnTriggerEnter2D(Collider2D other)
     {
         if(other.name == "PlayerHang")
         {
         if (playerPosition.position.x >= hangableObject.position.x)
             if (thePlayer.facingRight == true)
                 thePlayer.Flip();
         if (playerPosition.position.x <= hangableObject.position.x)
             if (thePlayer.facingRight == false)
                 thePlayer.Flip();
 
             thePlayer.onHang = true;
         }
     }

Everything works fine, except:

I have multiple hangable objects in scene, so everytime it compares player position to one of (actually) 3 objects with hangable tag, it means that only one object works per scene.

What I am searching for is the way how to make it work with every object with this script attached. Something like self in Lua.