User:Anniejing

Fixed Point

I choose this topic because I do not feel it is well explained. For me, at least, I do not really understand what it is talking about when I read it. The page includes too many things and makes the topic hard to understand. Now, I am going to simply the topic to make it easy to understand.

Definition

A fixed point is a point on the function that is mapped to it self. This means x = f(x) On the other hand, the fixed point can be find by finding the interception between f(x) and y=x.

Convergence

The convergence sometimes means the fixed point. For some functions, they converge to their fixed point.

There are three situations for the fixed point.

1) functions with one or more fixed point(s) and there is a convergence.

2) functions with fixed point(s) but they are repeled to each other.

3) functions with no fixed point(s) at all.