  In this work, the double poles soliton solutions for the Gerdjikov-Ivanov(GI)
type of derivative nonlinear Schr\"{o}dinger equation with zero boundary
conditions(ZBCs) and nonzero boundary conditions(NZBCs) are studied via
Riemann-Hilbert (RH) method. Though spectral problem analysis, we first give
out the Jost function and scattering matrix under ZBCs and NZBCs. Then
according to the analyticity, symmetry and asymptotic behavior of Jost function
and scattering matrix, the Riemann-Hilbert problem(RHP) with ZBCs and NZBCs are
constructed. Further, the obtained RHP with ZBCs and NZBCs can be solved in the
case that reflection coefficients have double poles. Finally, we derive the
precise formulae of bound-state soliton correspond to ZBCs, dark-bright soliton
and two breather solutions correspond to NZBCs, respectively. The dynamical
behaviors for these solutions are further discussed by image simulation.
