concept of factory method and Singleton process

Singleton :

                A singleton class is one which allows  us to create only one object for JVM.
                we can use it to create a connection pool.

class Stest {
    private static Stest st;  // private variable

    private Stest() {       // private constructor
        System.out.println("OBJECT CREATED FIRST TIME");
    }

    public static Stest create()  //Factory method
    {
        if (st == null)
        {
            st = new Stest();
        } else
                {
                System.out.println("OBJECT ALREADY CREATED");
            }
       
        return st;
    }

    public static void main(String[] args) {
        Stest st1 = Stest.create();
        Stest st2 = Stest.create();
        Stest st3 = Stest.create();
        if ((st1 == st2) && (st2 == st3) && (st3 == st1)) {
            System.out.println("ALL OBJECTS ARE SAME");
        } else {
            System.out.println("ALL OBJECTS ARE NOT SAME");
        }
    }
}

OUTPUT :

OBJECT CREATED FIRST TIME
OBJECT ALREADY CREATED
OBJECT ALREADY CREATED
ALL OBJECTS ARE SAME