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

Volume 11, Issue 1, pp 98--107 http://dx.doi.org/10.22436/jnsa.011.01.08

Publication Date: December 27, 2017 Submission Date: August 17, 2017 Revision Date: November 06, 2017 Accteptance Date: November 08, 2017

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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.

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Keywords

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

MSC

•  54H25

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