The French defender's side are eighth in the Premier League, but have little chance of qualifying for the Europa League having made little progress in the domestic cup competitions.
The Magpies have lost six times on home soil in the league, most recently in a 3-0 defeat by Everton, the same scoreline by which they went down to local rivals Sunderland at St James' Park.
But Yanga-Mbiwa does not agree that the current campaign has been a total write-off for Newcastle.
He told the Evening Chronicle: "First and foremost we want to stay in the top 10 of the Premier League and make sure we get as many points as we can. If that takes us even higher, then great.
"The last couple of months are all about playing well, putting in good performances and making sure the season finishes well.
"For me? It has already been a successful season."
Newcastle play Manchester United, Arsenal and Liverpool among their seven remaining fixtures and Yanga-Mbiwa is keen that his side do not peter out in the season's closing stages.
"We want the teams above us to be looking over their shoulders as we give them something to think about. And it is not just us players who play a role in that but the fans as well - they are so crucial to us."