The masses of very neutron-deficient nuclides close to the astrophysical r, p- and ν p-process paths have been determined with the Penning trap facilities JYFLTRAP at JYFL/Jyväskylä and SHIPTRAP at GSI/Darmstadt. Isotopes from yttrium (Z=39) to palladium (Z=46) have been produced in heavy-ion fusion-evaporation reactions. In total, 21 nuclides were studied, and almost half of the mass values were experimentally determined for the first time: Tc88, Ru90-92, Rh92-94, and Pd94,95. For the Pd95m, (21/2+) high-spin state, a first direct mass determination was performed. Relative mass uncertainties of typically δm/m=5×10-8 were obtained. The impact of the new mass values has been studied in ν p-process nucleosynthesis calculations. The resulting reaction flow and the final abundances are compared with those obtained with the data of the Atomic Mass Evaluation 2003.