Hello and thank you for your comment.

The correct and complete term for these points is "Attracting fixed points", but considering that we had given a lot of introduction to the subject, we wrote this term as "fixed points".

https://en.wikipedia.org/wiki/Fixed_point_(mathematics)

Also, if you look closely at the article, when it is "R = 3.0", it has not converged with the initial ten million iterations. We even tried the first hundred million iterations, but it still did not converge. The number one hundred thousand must be related to another part of the article.