In this study, I introduce some new double sequence spaces B(mathcal {M}_{u}), B(mathcal{C}_{p}), B(mathcal{C}_{bp}), B(mathcal {C}_{r}) and B(mathcal{L}_{q}) as the domain of four-dimensional generalized difference matrix B(r,s,t,u) in the spaces mathcal {M}_{u}, mathcal{C}_{p}, mathcal{C}_{bp}, mathcal{C}_{r} and mathcal{L}_{q}, respectively. I show that the double sequence spaces B(mathcal{M}_{u}), B(mathcal{C}_{bp}) and B(mathcal{C}_{r}) are the Banach spaces under some certain conditions. I give some inclusion relations with some topological properties. Moreover, I determine the α-dual of the spaces B(M_{u}) and B(mathcal{C}_{bp}), the beta(vartheta)-duals of the spaces B(M_{u}), B(mathcal{C}_{p}), B(mathcal{C}_{bp}), B(mathcal{C}_{r}) and B(mathcal{L}_{q}), where varthetain{p,bp,r}, and the γ-dual of the spaces B(mathcal{M}_{u}), B(mathcal{C}_{bp}) and B(mathcal{L}_{q}). Finally, I characterize the classes of four-dimensional matrix mappings defined on the spaces B(mathcal{M}_{u}), B(mathcal{C}_{p}), B(mathcal{C}_{bp}), B(mathcal{C}_{r}) and B(mathcal{L}_{q}) of double sequences.