Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Sensen Chen, Qing-You Sun and Yushu Zhu
Pages: [53] - [64]
Received Date: August 21, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122089
The Collatz problem is related to the fixed point problem, and is
widely used in mathematics. It has attracted a wide range of
mathematics enthusiasts, but is still difficult to solve. So, this
article aimed to study the extension of the Collatz problem, more
widely, in 
We define a new sequence called 
transformation sequence. Under a suitable
assumptions, we can prove that the limit set of the transformation sequence must be 
Collatz problem, 
transformation, limit set.
