But if you are travelling near the speed of light but still not fast enough to counteract the red shifting from either objects receding from us do to cosmic expansion or GR then the light from the object you are travelling towards can STILL be red shifted.
Example. Say you have an object that appears to be receding with a z value of ~198. You speed up to .99c toward that object...you still will see that object red shifted. The only way you'll see it blue shifted is if you exceed the speed that it was receding from you.
So while everything is blue shifted in the direction of travel it is ONLY blue shifted when compared to what you would observe if you where not in motion. It doesn't meant that all of a sudden something that is red shifted over all becomes blue shifted over all.
I'll put it in simple maths terms
A truck is parked next to you.
this represents no blue or red shifting.
You drive away from the truck at 30km/hr.
this represents red shifting of the truck
The truck starts driving towards you at 60km/hr (relative to the road or 30km/hr relative to you).
this represents blue shifting
The truck passes you still at 60km/hr (relative to the road or 30km/hr relative to you).
this represents red shifting.
The truck stops and you continue driving towards the truck.
this represents blue shifting again
Now I'd be really surprised if you didn't understand this already but history has shown you ask ambiguous open questions seemly hoping to get someone to stumble on what they are trying to say.
NGC3314 specified the same reasoning I have in post
#3