Today, e-commerce transactions continue to impact the global business environment profoundly and its technologies and applications are beginning to focus more on mobile computing and the wireless web. As the usage of mobile devices becomes pervasive and convenient, the e-commerce through mobile devices is an emerging field. However, most of e-commerce systems do not only support privacy rights for user but also the rights for the merchant provider. A collection and processing of personal data may lead to private and family life violation, thus discouraging the public against the usage of new technologies. In this paper, we propose the enhanced-privacy m-commerce schemes, which are based on the e-commerce model using the GSM user authentication protocol.