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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Keywords R-metric spaces; fixed point; strong R-compact metric spaces; fractional integral equations

Citation: Siamak Khalehoghli, Hamidreza Rahimi, Madjid Eshaghi Gordji. Fixed point theorems in R-metric spaces with applications. AIMS Mathematics, 2020, 5(4): 3125-3137. doi: 10.3934/math.2020201


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This article has been cited by

  • 1. Siamak Khalehoghli, Hamidreza Rahimi, Majid Eshaghi Gordji, R-topological spaces and SR-topological spaces with their applications, Mathematical Sciences, 2020, 10.1007/s40096-020-00338-5

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