Yes, it does. A virus is "malicious software", just as a Trojan or worm are. You can't separate a virus out of the malware category since the term malware is a generic phrase that refers to anything you wouldn't want on your device.
For whatever reason, I can't pick up a Google search phrase on my iPad as anything but straight text. But, use this phrase in a search:
is a virus malware
I didn't see any pages that didn't agree a virus and malware are the same thing. Or, as I said in my user tip, and is repeated on many of the Google returns, a virus is one type of malware. As is a Trojan or worm.