We employ gravitational-wave radiometry to map the stochastic gravitational wave backgroundexpected from a variety of contributing mechanisms and test the assumption of isotropy using datafrom the Advanced Laser Interferometer Gravitational Wave Observatory’s (aLIGO) first observing run.We also search for persistent gravitational waves from point sources with only minimal assumptionsover the 20–1726 Hz frequency band. Finding no evidence of gravitational waves from either pointsources or a stochastic background, we set limits at 90% confidence. For broadband point sources, wereport upper limits on the gravitational wave energy flux per unit frequency in the range Fα;ΘðfÞ