# Fixed point theorems for contractions of rational type in complete metric spaces

Volume 11, Issue 1, pp 98--107 Publication Date: December 27, 2017       Article History
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### Authors

Tomonari Suzuki - Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan

### Abstract

Samet et al. in [S. Samet, C. Vetro, H. Yazidi, J. Nonlinear Sci. Appl., ${\bf 6}$ (2013), 162--169] proved some fixed point theorem for contractions of rational type. In order to clarify the mathematical structure of contractions of rational type, we generalize this theorem in a general setting.

### Keywords

• Fixed point
• contraction of rational type
• complete metric space

•  54H25

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