Science and Education Publishing American Journal of Educational Research 2327-6150 4 13 2016 10 14 Encryption Using Contractive Functions 931 936 EN Asha Rani Department of Mathematics, SRM University, Haryana, Sonepat- 131001, India Kumari Jyoti Naveen Kumar Antil EDUCATION20164133 10.12691/education-4-13-3 2016 6 30 2016 8 26 2016 10 12 In this paper we introduce a fresh encrypting strategy. Our encryption scheme is based on the concept of contractive functions in a Banach space. The algorithm uses two different concepts of mathematics: contraction principle, unique prime factorisation theorem. The mixture of these two concepts is beautiful and it promises a high level of security with an easy to learn mechanism.