Looking at the set of methods in a class, including superclass methods, and finding two methods or fields that differ only by capitalization is confusing to users of the class. It is similarly confusing to have a method and a field which differ only in capitalization or a method and a field with exactly the same name and visibility.
In the case of methods, it may have been a mistake on the part of the original developer, who intended to override a superclass method, but instead added a new method with nearly the same name.
Otherwise, this situation simply indicates poor naming. Method names should be action-oriented, and thus contain a verb, which is unlikely in the case where both a method and a member have the same name (with or without capitalization differences). However, renaming a public method could be disruptive to callers. Therefore renaming the member is the recommended action.