I have a 2008 Mitsubishi
If the top is working fine, but still the convertible top indicator , light comes on dash.Then its the problem of cars computer not seeing the top down.It still thinks that top is not closed and car is running, and so the indicator comes ON.But if top is actually down, then it can be due to convertible getting down bit slow.Its motor and its switch in the latch both needs bit of servicing.-------
You can use wd-40 spray in the latches or any good contact cleaner in the convertible top latches, you can get the top motor greased and the convertible top switch.Get that switch connections also cleaned.----------
This problem many a time occurs due to top getting down timing.-----------
FOR example:--- The top comes down in 2 minutes, so when you close the top, the top comes down, but if it takes 2 minutes 10 seconds, then computer triggers that top is not closed.But when you turn off and turn on car, the computer memory again resets and detects the top closed.--------
This timing gets increased, due to top motor getting rusted or latch, switches getting dirty, so it takes few more seconds then actual time and this then triggers the computer to indicate on dash,. that top is not closed.-------
Getting this convertible top-- motor, latch and switch cleaned and basic serviced,, like cleaning the dirt collected to the latch, switch.Cleaning it contacts, cleaning its terminals.Should help.-------
Thanks.Helpmech.