AIMS Mathematics, 2020, 5(4): 3125-3137. doi: 10.3934/math.2020201

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Fixed point theorems in R-metric spaces with applications

1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mathematics, Semnan University, Semnan, Iran

The purpose of this paper is to introduce the notion of R-metric spaces and give a real generalization of Banach fixed point theorem. Also, we give some conditions to construct the Brouwer fixed point. As an application, we find the existence of solution for a fractional integral equation.
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