Principles of comparison with distance functions for absolute minimizers

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Tug-of-war and the infinity Laplacian (2006, methodology): “The following result from [8] will be used in the proof of Theorem 1.”
Vector‐valued optimal Lipschitz extensions (2010, background): “Champion and De Pascale [4] adapted this definition to length spaces, where cones are replaced by functions of the form φ(x) = b d(x, z) + c where b > 0.”