next if($name =~ /[^\.]|[^\.\.]/g);
That really isn't doing what you think it is.
"If name matches a character that isn't a dot or a character that isn't a dot".
You probably meant something like:
next if ($name =~ /^(\.\.?)$)/);
But this is one of those cases where a regex is overkill.
next if ($name eq '.' or $name eq '..');
Update: And that next should really be a return.
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