  The correlations of identical charged kaons were measured in p-Pb collisions
at $\sqrt{s_{\rm NN}}=5.02$ TeV by the ALICE experiment at the LHC. The
femtoscopic invariant radii and correlation strengths were extracted from
one-dimensional kaon correlation functions and were compared with those
obtained in pp and Pb-Pb collisions at $\sqrt{s}=7$ TeV and $\sqrt{s_{\rm
NN}}=2.76$ TeV, respectively. The presented results also complement the
identical-pion femtoscopic data published by the ALICE collaboration. The
extracted radii increase with increasing charged-particle multiplicity and
decrease with increasing pair transverse momentum. At comparable
multiplicities, the radii measured in p-Pb collisions are found to be close to
those observed in pp collisions. The obtained femtoscopic parameters are
reproduced by the EPOS 3 hadronic interaction model and disfavor models with
large initial size or strong collective expansion at low multiplicities.
