In the past years , the IceCube Collaboration has reported in several analyses the observation of astrophysical high-energy neutrino events .
Despite a compelling evidence for the first identification of a neutrino source , TXS 0506+056 , the origin of the majority of these events is still unknown .
In this paper , a possible transient origin of the IceCube astrophysical events is searched for using neutrino events detected by the ANTARES telescope .
The arrival time and direction of 6894 track-like and 160 shower-like events detected over 2346 days of livetime are examined to search for coincidences with 54 IceCube high-energy track-like neutrino events , by means of a maximum likelihood method .
No significant correlation is observed and upper limits on the one-flavour neutrino fluence from the direction of the IceCube candidates are derived .
The non-observation of time and space correlation within the time window of 0.1 days with the two most energetic IceCube events constrains the spectral index of a possible point-like transient neutrino source , to be harder than -2.3 and -2.4 for each event , respectively .