Fixed Point 4.160

    public static void main(String[] args) {
        fixedPointArrange1();
        System.out.println("");
        fixedPointArrange2();
        System.out.println("");
        fixedPointArrange3();
    }

    private static void fixedPointArrange1() {
        double x0 = 0;
        double x1 = 0.5;
        double x2 = 0.25;
        double tol = Math.pow(10F, -6);
        int loop = 50;
        for(int i = 1; i <= loop; i++) {
            x0 = x1;
            x1 = x2;
            x2 = arrange1(x1);
            if(Math.abs(x1-x0) < tol && Math.abs(x2-x0) < tol && Math.abs(x2-x1) < tol) {
                System.out.println("Iteration " + i + ": " + x2);
                break;
            }
            System.out.println("Iteration " + i + ": " + x2);
        }
    }

    private static double arrange1(double x) {
        return ((Math.pow(Math.E, x/2F))/10F);
    }

    private static void fixedPointArrange2() {
        double x0 = 7F;
        double x1 = 10F;
        double x2 = 8F;
        double tol = Math.pow(10F, -6);
        int loop = 50;
        for(int i = 1; i <= loop; i++) {
            x0 = x1;
            x1 = x2;
            x2 = arrange2(x1);
            if(Math.abs(x1-x0) < tol && Math.abs(x2-x0) < tol && Math.abs(x2-x1) < tol) {
                System.out.println("Iteration " + i + ": " + x2);
                break;
            }
            System.out.println("Iteration " + i + ": " + x2);
        }
    }

    private static double arrange2(double x) {
        return 2F*(Math.log(x)+Math.log(10F));
    }

    private static void fixedPointArrange3() {
        double x0 = -0.5;
        double x1 = 0F;
        double x2 = -0.25;
        double tol = Math.pow(10F, -6);
        int loop = 50;
        for(int i = 1; i <= loop; i++) {
            x0 = x1;
            x1 = x2;
            x2 = arrange3(x1);
            if(Math.abs(x1-x0) < tol && Math.abs(x2-x0) < tol && Math.abs(x2-x1) < tol) {
                System.out.println("Iteration " + i + ": " + x2);
                break;
            }
            System.out.println("Iteration " + i + ": " + x2);
        }
    }

    private static double arrange3(double x) {
        return ((-1F*Math.pow(Math.E, x/2F))/10F);
    }