eng Science and Education Publishing American Journal of Educational Research 2327-6150 2016-10-14 4 13 931 936 10.12691/education-4-13-3 EDUCATION20164133 article Asha Rani asha.dahiya27@gmail.com 1 Kumari Jyoti 1 Naveen Kumar Antil 2 Department of Mathematics, SRM University, Haryana, Sonepat- 131001, India CITD, Rakuten India, Bangalore- 560054, India 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. http://pubs.sciepub.com/education/4/13/3/education-4-13-3.pdf encryptions contractive functions banach contractive principle unique factoriation theorem