Abstract
In 1993 another axiom for semimetric spaces, which is weaker than the triangle inequality, was put forth by Czerwik [58] with a view of generalizing the Banach contraction mapping theorem. This same relaxation of the triangle inequality is also discussed in Fagin et al. [79], who call this new distance measure nonlinear elastic matching (NEM). The authors of that paper remark that this measure has been used, for example, in [55] for trademark shapes and in [153] to measure ice floes. Later Q.
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Kirk, W., Shahzad, N. (2014). b-Metric Spaces. In: Fixed Point Theory in Distance Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-10927-5_12
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