Inclusive-jet cross sections in ep collisions at HERA and a comparison of the kt, anti-kt and SIScone jet algorithms ZEUS Collaboration Abstract For the first time, differential inclusive-jet cross sections have been measured using the anti-kt and SIScone algorithms. The measurements were made with the ZEUS detector at HERA using an integrated luminosity of 82 pb^-1 in neutral current deep inelastic ep scattering and photoproduction. The performance and suitability of the jet algorithms for their use in hadron-like reactions were investigated by comparing the measurements to those performed with the kt algorithm. Next-to-leading-order QCD calculations give a good description of the measurements. Measurements of the ratios of cross sections using different jet algorithms are also presented; the measured ratios are well described by calculations including up to O(alphas^3) terms. Values of alphas(Mz) were extracted from the data; the results are compatible with and have similar precision to the value extracted from the kt analysis.