There is no perfect way of doing this as even an IP Address can change. If the user has a Dynamic IP Address, the address can change frequently.
Either way, using the user's IP Address, you will have to store the address somewhere on your server. If you have a database set up, like MySQL, you can store the IP Address in a table.
See the MySQLi documentation page in the PHP manual.
Once you are familiar with MySQL, you can write code similar to this:
$mysqli = new mysqli("example.com", "user", "password", "database");
if (!$mysqli->connect_errno) {
    //You should validate the IP Address
    $ip = $_SERVER['REMOTE_ADDR'];
    $res = $mysqli->query("SELECT IPAddress FROM tbIP WHERE IPAddress='{$ip}' LIMIT 1")
    if($res !== false){
        if($res->num_rows > 0){
            //Found
            echo "<script type='text/javascript'>alert('YES');</script>";
        } else {
            //Not found
            echo "<script type='text/javascript'>alert('NO');</script>";
            //Here you will probably want to INSERT a new record into the Database
            //tracking the current user.
        }
    }
}
Again, I'd recommend reading up on MySQL.
If you don't have access to a database and you have eliminated cookies, you could write the IP Addresses to a file instead (replacing the MySQL calls with calls to read from the file. This is not usually a good choice, however if you have no alternatives, you don't have many options.