Abstract
We show that quasihyperbolic geodesics exist in convex domains in reflexive Banach spaces and that quasihyperbolic geodesies are quasiconvex in the norm metric in convex domains in all normed spaces.
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Väisälä, J. Quasihyperbolic geodesics in convex domains. Results. Math. 48, 184–195 (2005). https://doi.org/10.1007/BF03322906
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DOI: https://doi.org/10.1007/BF03322906