Okay, so apparently there's a popular, well-known, well-established restaurant in Philadelphia called "Chink's Restaurant" and it's one of the best places in the city of brotherly love for Philly cheese steaks. It's been in business under the same name since the mid-1940's. Its original owner was a guy nicknamed 'Chink'. He was non-Asian. Over the years, it's changed owners several times, is no longer associated with the family of the original 'Chink', yet has continued to build a solid reputation with the name.
Last year, a woman (non-Asian) who lives in Philadelphia yet had never heard of Chink's, suddenly became aware of the establishment. She became deeply offended by the degrading racial connotations of the name, to the point that she is now trying to get the 'Chink' removed from the establishement's name.
To me, this is an interesting problem. On the one hand, the name-recognition that Chink's has built for itself over 60+ years of business is invaluable. To force them to forfeit that name would undoubtedly cost them some business. On the other hand, there's no doubt that the name could be offensive to some people.
Should the current owners be forced to change the name of their business?