When editing a user’s info should the save button save only or save and return to address book?

I am creating a design for an address book in a software application. To create a new user it directs you to a new page to fill out the user's information. Should the save at the bottom of the page save and display a success message? Or, save and return to the address book with a save alert message displayed at top?

I am unsure of the best solution to direct the user to after they save a user's info.