PHP Notice: Unidentified index

I dug deeper into the warnings and found that it was actually a different method in my class that was causing the error. I have one that creates fields within meta boxes and sets the value attribute to the content of $meta[ $field_id_name ][0]. This is what was causing the notice message.

So ahead of construction of the form element, I added the following:

// Check for meta data for value attribute and set to null if not found
if ( ! isset( $meta[ $field_id_name ] ) ) {
    $meta[ $field_id_name ][0] = null;
}

I ran it through a test with several loads of a new post and with one with pre-existing metadata and it works.