Abstract: Methods for access points and corresponding payment systems which facilitate access to a data network by a user device for payments of very small monetary amounts in an access now and pay latter arrangement. The method for such a payment system for at least one access point or access point server relies on an identifier associated with a mobile device for recording such identifier; receiving and confirming direct debit orders from the associated mobile device for access to a data network; and for storing the direct debit orders. Such payment system method monitors the total of the debit amounts in relation to the identifier and requests a user of the mobile device to register and settle at least a portion of the total amount after a predetermined time interval and/or on exceeding a predetermined total debit amount, in order to settle at least part of such total debit amount.