If you have manually changed any files then please take a backup of them. After replacing files, you can again get that portion of code into some particular files.
Replace v1.1.1 files into your existing version v1.1.0
Run composer install to update composer dependencies
Run npm install
And at last Run npm run dev to make a new build
That's it! you are ready to go with new version v1.1.1
For Non-Technical Users:
Download v1.1.1
Backup your current version files and DB
If you have manually changed any files then please take a backup of them. After replacing files, you can again get that portion of code into some particular files.
Replace v1.1.1 files/directories into your existing version v1.1.0
That's it! you are ready to go with new version v1.1.1