Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, No. 521, Nanda Rd., Hsinchu City 300, Taiwan Abstract In this article, we introduce the notions of cyclic weaker φ ○ -contractions and cyclic weaker (φ, )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for ...