so why do you think it would cause problems?
I thought it might give problems with older browsers. It is best to make the html code as compatible as possible.
Anyway, now that Microsoft Explorer has been removed from circulation, it should not cause problems with any modern browser.
The trailing slash is
required in XHTML,
prohibited in HTML4 and earlier, and
optional in HTML5. So unless your site is
XHTML, you can get rid of them. Most browsers tended to be very tolerant, of course. (Also, in both HTML and XHTML, there are parser flags you can set to allow the opposite behavior.)