What you are currently doing is searching for "-process" in this $_ (magic operator) which you have assigned the value 'process1.' Running this yields nothing because '-process' is not in 'process1.' A better approach would be:

my $string = 'process1';
if ($string =~ /process/) 
{
    print "success";
}
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This searches $string for the text "process." (for more information on these matches read up on regular expressions)