If I understand you correctly, you want your map to store a pointer that can be used to call a member function on an instance, the value being chosen from the map at run time. I'm going to assume that this is the right thing to do, and that there isn't a simpler way to solve the same problem. Quite often when you end up in strange C++ backwaters it's a sign that you need to look again at the problem you think you have, and see whether this is the only way to solve it.
The problem with using an ordinary function pointer is that a non-static member function is not an ordinary function. Suppose you could point to a member function with an ordinary function pointer, what would happen when you dereferenced that pointer and called the function? The member function needs an object to operate on, and the syntax doesn't provide a way to pass this object in.
You need a pointer to member, which is a slightly obscure feature with relatively tricky syntax. While an ordinary pointer abstracts an object, a pointer to member abstracts a member on a class; the pointer specifies which class member should be called, but not which object to obtain the member from (that will be specified when the pointer is used). We can use it something like this:
class B;
class A
{
B some_function()
{ /* ... */ }
};
B (A::* myval)() = A::some_function;
Here myval is a variable that indicates one of the members of class A, in this case the member some_function (though it could point to any other member of A of the same type). We can pass myval round wherever we want (e.g. storing it in an STL container, as in your example) and then when we want to call the function, we specify the instance it should be called on in order to locate the function:
A some_a;
B newly_created_b = (some_a.*myval)();
This works for a particular case, but it won't solve your general issue, because member pointers contain the class they refer to as part of the definition. That is, the following two variables are of entirely different types:
B (Foo::* first_variable)() = Foo::some_function;
B (Bar::* second_variable)() = Bar::some_function;
Even though both functions can produce a B when called without arguments, the two values operate on different classes and therefore you can't assign a value of one type to a variable of the other type. This of course rules out storing these different types in a single STL container.
If you're committed to storing these in a container, you'll have to go with a functor-based solution like Charles Salvia proposes.