The inverse scattering transformation for a generalized derivative nonlinear Schrodinger (GDNLS) equation is studied via the Riemann-Hilbert approach. In the direct scattering process, we perform the spectral analysis of the Lax pair associated with a 2x2 matrix spectral problem for the GDNLS equation. Then, the corresponding Riemann-Hilbert problem is constructed. In the inverse scattering process, we obtain an N-soliton solution formula for the GDNLS equation by solving the Riemann-Hilbert problem with the reflection-less case. In addition, we express the N-soliton solution of the GDNLS equation as determinant expression.
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