You can use the GeometryValidator:

The GeometryValidator that @david_r suggests can remove duplicate points. In case you have unneccessary points (i.e. they have no influence on the actual shape of the object, but they're not duplicates) you can try a Generalizer to get rid of those.

Hi, not sure what you mean by redundant vertex point coordinate, it might also be some spike, which can be removed by FME using the SpikeRemover, as in the picture below:

The Generalizer can also be used if the redundant point is not exactly on top of another.