Fixing To PlasterBoard

[ParanoidAndroid2008]

Good Evening, I have been "instructed" to install a Rollerblind in our kitchen. Having purchased said blind, I note that the screws to fit the mounting brackets [to eaither end of the roller] to the wall are very close together < 2cm apart. Past experiece has shown that with normal platerboard fixings, the plasterboard around any single fixing becomes very weak, I fear that with two such fixings so close together, I will be just left with one big hole. Has anyone any tips or advice how I should proceed with fixing the blind to the platerboard wall ?

Many Thanks, Paul