Neargeodesics in Gromov hyperbolic John domains in Banach spaces

Abstract

In this paper, we prove that neargeodesics in Gromov hyperbolic John domains in Banach space are cone arcs. This result gives an improvement of a result of Li [Theorem 1, Int. J. Math. 25 (2014)].

14 pages. Revised version accepted for publication in Annales Fennici Mathematici