On Fractional Power Inequalities In b-Metric-Type Spaces

By using a generalization of the binomial theorem, we give some bounds for the distance in b-metric type spaces. In particular, we prove that the fractional power inequalities in the results of Dragomir and Gosa [S.S. Dragomir and A.C. Gosa, An inequality in metric spaces, Journal of the Indonesia Mathematical Society, vol. 11, no. 1(2005), 33-38] and Karapinar and Noorwali [Dragomir and Gosa Type Inequalities on b-metric spaces, Journal of Inequalities and Applications, vol. 2019, 1-7].