Abstract :
A concept of weak $f$-property for < a > set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information
about the solution set, the lower semicontinuity of the solution mapping to
the parametric
set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the
constraint set $K$ and a set-valued mapping $H$ are perturbed by
different parameters.
