On the novelty of ”Contracting Perimeters of Triangles in Metric Space”
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Fixed Point, Metric space, Interpolative metric space, Contraction.Abstract
In this note, we research whether the newly introduced notion of ”contracting perimeters of triangles” in the context of metric spaces is equivalent to ”a variant” of Banach contraction in the setting of G-metric spaces. By using the fact that G-metric spaces are equivalent to quasi-metric spaces, we conclude that the fixed-point theorems via ”contracting perimeters of triangles” is equivalent to a fixed point of the same mapping in the context of quasi-metric spaces
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