  Double-peaked profiles associated with the broad-line region (BLR) of active
galactic nuclei (AGNs) are regarded as the clearest evidence of the presence of
an accretion disk. They are most commonly detected by means of optical
spectroscopy in the Balmer lines and in the Mg II $\lambda$2798 ultraviolet
line. Here, we report the first unambiguous detection of a double-peak broad
emission line associated with the O I $\lambda$11297 emission line in the
near-infrared (NIR) in the local Seyfert 1 galaxy III Zw 002. Additionally, we
detect simultaneously in the spectrum the double-peak emission in the
Pa$\alpha$ line and very likely in the He II $\lambda$10830. This is the first
time that several broad double-peaked NIR emission lines have been detected
simultaneously. The double-peaked profiles are fit using a disk-based model,
with an additional Gaussian component attributed to nondisk clouds, which
represents the classical BLR. Our results obtained from the fits reveal
important parameters, such as disk inclination and geometry. From the
double-peaked profile fits, we suggest that the BLR in III Zw 002 has a
disk-like geometry, as it extends up to the outer edge of the BLR.
