Neargeodesics in Gromov hyperbolic John domains in Banach spaces

TL;DR

This paper proves that neargeodesics in Gromov hyperbolic John domains within Banach spaces are cone arcs, improving upon previous results and enhancing understanding of geometric structures in these spaces.

Contribution

The paper establishes that neargeodesics in Gromov hyperbolic John domains are cone arcs, refining earlier theorems in the context of Banach spaces.

Findings

Neargeodesics are cone arcs in the specified domains.

Improves upon Li's previous theorem.

Enhances understanding of geometric properties 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)].