Collatz function like integral value transformations

الملخص EN

A class of transformations named as Integral Value Transformation (IVT) on Mq, where Mq denotes the set of natural numbers along with zero, is introduced.

Using IVT an iterative scheme is defined.

One of the famous mathematical conjectures in discrete dynamical system is Collatz Conjecture.

In this paper, a Collatz function like transformation I VT^' ^ 1 is introduced and we have explored the beauty like the Collatz function.

We have proved that the iterative scheme on using the I VT ^ ^ converges to zero where as iterative scheme on Collatz function is still a conjecture till today.