Malware seems to cause software to keep re-installing itself on my mobile after apperent software unistallation

I posted this in the XDA assist forumn and hope either here or there I can find a solution.

I have a phone which has been rooted due to a problem I encountered where I had to flash and re-install my Android thl5000 device. I have the ultimate v3 on it. It was fine until I again installed a dodgy application where I had to try to remove it via an anti-malware app. Out of my curiosity one of those applications was the cheetah and Go Security anti-malware app.

I searched the forum and could not find a similar issue.

Now all the anti-malware and anti-virus applications I have installed do not detect any malware on my phone. I have the stubborn trojan removal software which I also have used and still it has not detected anything. I have a web anti-virus security which has not detected any problem with my phone.
My problem is I have 3 applications that as a result of my lack of wisdom keep re-installing themselves upon bootup.
'Android is optimizing 1 of 3 apps'
When my phone loads up I have 3 applications (which can be uninstalled without a problem apparently).
they are
"Go Security"
"Superb Cleaner"
"Ace Cleaner"
I have messaged the developers in their apps and they have not responded, once or twice the Go Dev for 'Go Security ' team got back to me about trying to help me permanently remove it but after several attempts of clearing the cache, the removing from google play and doing the same removal from safe mode and even trying from the root to find similar looking files, there seems to be no way to remove whatever is causing their re-installation.

The only application I have found that identifies the applications as low reputation apps is Sophos.
I will try the hummingbird application that someone suggested in another thread in the XDA assist ... hummingbad-malware-android-t3484704 .

It could be there is malware hidden behind these applications and I want to find the source of this and remove it. I am not sure how. I have a USB cable, I have mtk droid tools I think on my laptop, I have my phone on developer options.

When I uninstall the applications there seems to be no installation, either this is fake or it uninstalls part of the program and upon reboot calls the apk file responsible which is hidden deep in the phone.

In safe mode and all the other techniques I have not found a solution yet. On google there is a bit but nothing about this specific case and its source.

Any thoughts for those with a bit of experience would be grateful, I will also post this same post in the Sophos Security forum to see if their experts can offer any thoughts, in case anyone else has the same problem as me.

Harry