  The new single-channel, single-energy partial wave analysis method based on a
simultaneous use of amplitude and partial wave analysis called AA/PWA,
developed and tested on $\eta$ photoproduction in ref. Svarc et al, PRC 102,
064609 (2020), is applied to the $K^{+} \Lambda$ photoproduction for the
center-of-mass energy range of 1625 MeV $< W <$ 2296 MeV. A complete set of
multipoles has been created. The advantages of the method have been confirmed,
and a comparison with the only existing single-energy partial wave analysis of
$K^{+} \Lambda$ photoproduction given in refs. Anisovich et al PRL 119 062004
(2017) and Anisovich et al Eur. Phys. J. A 53: 242 (2017) is presented. We
confirm the size and shape of Bonn-Gatchina multipoles, but we do not confirm
the unambiguous interpretation of the structure in the $M_{1-}$ multipole as a
$N(1880) \frac{1}{2}^{+}$ resonance. The decisive role of the self-consistency
of the world database is emphasized.
