Need help in coding convex optimization problem

The fact that the solver even began to work suggests that CVX agrees your problem is convex. (It would not have even begun if it did not). What it is saying is that the problem is infeasible: that there are no points that satisfy all the constraints.

If you are certain that the problem is feasible, then you’ve entered it into CVX incorrectly. However, you haven’t offered any source code, so there’s no way anyone can help you. Do look at this post to see how to format source code you include in your post.