I had something similar happen to me recently, and it turned out I had the Netflix app installed on two old phones I wasn't even using, but they were still connected to my home wifi. Netflix detects when you try to use your account on multiple devices at the same time and literally boots you off one to keep the session "clean" according to their rules. So the first thing I'd do is go to your account settings (from a browser, not the app), look for the devices or active sessions section, and delete anything you don't recognize or don't use from there.
Second thing is to check if your password is still secure. If you shared it with someone at some point, even someone you trust, or if you reuse that same password on other sites, maybe someone else is in there without you realizing. Change your password to something new and strong, nothing with obvious patterns. After that, log out of all devices from the web settings and log back in only from the phone you use now.
If it keeps happening anyway, it's probably a cache or corrupted data issue with the app. Try uninstalling Netflix, clear your phone's cache (in settings, applications, storage), and reinstall the app again. Sometimes it hangs onto junk from old versions that causes weird conflicts. If it still keeps happening after that, contact Netflix support because at that point it'd be a technical issue on their end.