Power charger adapter cable loose fit

Hi all,
First post here so sorry if I am not up on the exact vocabulary.
My wife has in her car two of the earlier Garmin models (Nuvi 255 and Nuvi 1300).
Recently using either plugged into her AC battery socket she has gotten a battery low announcement since my tests indicate that her adapter has a slightly loose fit and the connection doesn't stay continuous.

I had another adapter which fits better but still when jostled a little loses the connection.

Is this a common problem and is there an easy fix or work-around so that the adapter/charger will remain connected in the socket?
Thanks for any help.

 

Not familiar with these models but assume they have a mini or micro USB socket and these are not very robust it could be the plug and a new cable may help but if it is the socket it would most likely cost more than a replacement GPS to fix.