I would like to thank you as Cleaning cache + Force Stop did the trick for me.
I noticed that some really popular websites which has an ads zone managed by Google Ads currently has ads that do some really nasty things.
Those ads do the things in the following order :
1) At first, it change the homepage and new-tab page of your browser and set it to a specific page that includes multiples links like a Custom Google search bar.
2) That page includes many ads box. (Yeah... the scammer who created those website actually makes money out of your visits)
3) Some of those ads box install some adware/minor malwares even just by loading them (through the browser).
4) Those adware/minor malwares will put ads over your browser windows. (lower right corner most of the time.)
5) Clicking on those ads (which looks like Play Store's ads) install even more crap into your browser. The bad thing is that the "X" of those ads is the size of about 6x6 pixels so it's extremely easy to press the ads instead of the closing button. Also, closing the ads doesn't work for long as it will come back 3 sec later.
As bad as it might sound, there's no anti-virus that can protect you from this process. BitDefender, Avast and Malwarebytes doesn't seem to detect anything as it all goes through as some kind of system updates and not as "new apps".
The first time it happened to me, I had to format my Android tablet because things went really too far.
The second time it happened to me, I was a bit more ready. First, I always kept an eye to the apps installed in the device... even make a list. Whenever something new is added without me doing anything, I remove it. In the case of the ads in the corner, it's often called "VideoPlayer" which is actually an old adware that existed since 2008. Originally, it's known as "Ads by VideoPlayer", but it's only "VideoPlayer" for the Android. Then you got to close the browsers (quit the apps) in the "Running Aps", clean their cache and even then Force Stop them (from the "All Apps"). When you will start the default browser, it will request to log into your account as if you just started the device for the first time. Then all trace of the previous temper will be gone.
You will have to repeat the whole process whenever something unusual happens such as the change of your homepage.