STL C++Iterators

Hello! Please tell me if it is possible to store iterators from vector for a long time, for example, so that it can be dereferenced in the future and not get errors (vector iterators incompatible).

Trying to store iterators vector<char *>in another container vector<vector<char *>::iterator>. Is it possible to delete vector<char *> elements via stored iterators?:

vector<char *> a;
vector<vector<char *>::iterator> b;
a.push_back("sasl");
a.push_back("wqe");
...
a.push_back("sasl");
for (vector<char *>::iterator i=a.begin(); i!=a.end(); i++) {
   b.push_back(i);
}
...
a.erase( *( b.begin() ) );

The example may be working, I have an error somewhere in another program. I just wonder if it could be, so that the iterators change after erase(), for example, and is such a {[10] normal at all]}code, acceptable, good tone?

In a problem with an error, I use

map<vector<char *>::iterator, vector<vector<char *>::iterator>> c

Let there be some

vector<char *>::iterator d

I appeal:

for (vector<vector<char*>::iterator>>::iterator it=c[d].begin(); it!=c[d].end(); it++) {
   //b из предыдущего листинга
   cout << *b[*it] << endl;
}

Instead of char*, the program with the error has a different structure.