  Nonclassical correlations have been found useful in many quantum information
processing tasks, and various measures have been proposed to quantify these
correlations. In this work, we mainly study one of nonclassical correlations,
called measurement-induced nonlocality (MIN). First, we establish a close
connection between this nonlocal effect and the Bell nonlocality for two-qubit
states. Then, we derive a tight monogamy relation of MIN for any pure
three-qubit state and provide an alternative way to obtain similar monogamy
relations for other nonclassical correlation measures, including squared
negativity, quantum discord, and geometric quantum discord. Finally, we find
that the tight monogamy relation of MIN is violated by some mixed three-qubit
states, however, a weaker monogamy relation of MIN for mixed states and even
multi-qubit states is still obtained.
