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Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 3, Pages 257-265
doi:10.1155/FPTA.2005.257

A contraction theorem in fuzzy metric spaces

Abdolrahman Razani

Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288, Qazvin, Iran

Received 3 January 2005; Revised 7 April 2005

Abstract

A fixed point theorem is proved. Moreover, fuzzy Edelstein's contraction theorem is described. Finally, the existence of at least one periodic point is shown.