  The masses of open bottom mesons ($B$($B^+$,$B^0$),
$\bar{B}$($B^-$,$\bar{B^0}$), $B_s$(${B_{s}}^0$, $\bar{{B_s}^0}$)) and upsilon
states ($\Upsilon(1S)$, $\Upsilon(2S)$, $\Upsilon(3S)$, $\Upsilon(4S)$, and
$\Upsilon(1D)$) are investigated in the isospin asymmetric strange hadronic
medium at finite temperature in the presence of strong magnetic fields using a
chiral effective Lagrangian approach. For charged baryons, the magnetic field
introduces contribution from Landau energy levels. The masses of the open
bottom mesons get modified through their interactions with the baryons and the
scalar mesons, which undergo modifications in a magnetized medium. The charged
open bottom mesons have additional positive mass shifts due to Landau
quantization in the presence of the magnetic field. The medium mass shift of
the upsilon states originates from the modification of the gluon condensates
simulated by the variation of dilaton field ($\chi$) and a quark mass term in
the magnetized medium. The open bottom mesons and upsilon states experience a
mass drop in the magnetized medium. The masses of these mesons initially
increase with a rise in temperature, and beyond a high value of temperature,
their masses are observed to drop. When the temperature is below 90 MeV, the
in-medium masses of the mesons increase with an increase in the magnetic field.
However, at high temperatures (T $>$ 90 MeV), the masses are observed to drop
with an increase in the magnetic field. The dominant in-medium effects are the
density effects, which can have observable effects in asymmetric heavy-ion
collisions planned at compressed baryonic matter experiments at FAIR at the
future facility of GSI.
