The phrase "alert notifying" is correct and usable in written English.
It can be used in contexts where you want to describe an alert that serves the purpose of notifying someone about something important or urgent.
Example: "The system generated an alert notifying users of the potential security breach."
Alternatives: "notification alert" or "alert message".
The situation is so bad, Apple reportedly issued an internal high-priority alert, notifying employees of the server issues that are preventing iPhone activation.
If the difference in price exceeds the fee, Yapta will send you, without charge, an e-mail or Twitter alert notifying you of the lower fare.
If the price drop exceeds the fee, Yapta will send you, without charge, an e-mail message or Twitter alert notifying you of the refund.
Using your confirmation number, Yapta.com will automatically track the price of your ticket, taking the airline's fees into consideration, and send you, without charge, an e-mail message or Twitter alert notifying you of the lower price.
(Two airlines that don't charge rebooking fees are Alaska and JetBlue). If the difference in price exceeds the fee, Yapta will send you, without charge, an e-mail or Twitter alert notifying you of the lower fare.
We currently offer e-mail alerts tied to Science content, including an alert notifying users when the week's issue has been posted online and a weekly feed of the table of contents, as well as premium alerts delivering content from the News, This Week in Science, and Editors' Choice sections of the journal and a notifcation of new papers posted as First Release, publish ahead of print.
A transit worker, who was aware of the alert, notified the police.
An e-mail alert notifies everyone involved about new documents or requests for information.
A citation alert notifies you when new publications cite a particular work.
In early 2010, an alert notified me that Cesar had signed up, using one of his post-penitentiary professional names, with the Aiglon College alumni group on a networking site called Plaxo.
A "watch list alert" notifies users of current filings that match selected criteria.
