I received a notice from facebook saying that it looks like my computer has been infected by malware. In order to clean my computer I need to download a program called ESET online scanner which should remove the malware. Has anyone else received this notice. I am afraid if I download this ESET online scanner that it will open the door for the malware. Any suggestions as what I should do. I already did a full system scan with Kaspersky which turned up nothing.

ESET is a well recognized and rated scanner. Also part of Facebook's defense system now.

Facebook integrates ESET Online Scanner to help find malware in problem PCs

Facebook has partnered with antivirus firm ESET to offer users the ability to scan their computers for malware directly from inside the social networking site.

Facebook has integrated ESET’s technology into its abuse detection and prevention system so that users will be prompted to run the ESET Online Scanner for free when Facebook flags suspicious activity on their accounts or computers, like the posting of malicious links via news feeds and messages.

More here - PCWorld

Many thanks Tywais. I will download the ESET program and see what happens.