Research article

Fixed point theorems in R-metric spaces with applications

  • Received: 24 October 2019 Accepted: 10 March 2020 Published: 24 March 2020
  • MSC : 54H25, 47H10

  • 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.

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

    Related Papers:

  • 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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