  Following the reports of two pairs of chiral doublet bands observed in
$^{105}$Rh, the adiabatic and configuration-fixed constrained triaxial
relativistic mean-field (RMF) calculations are performed to investigate their
triaxial deformations with the corresponding configuration and the possible
multiple chiral doublet (M$\chi$D) phenomenon. The existence of M$\chi$D
phenomenon in $^{105}$Rh is highly expected.
