Lower semicontinuity for parametric set-valued vector equilibrium-like problems

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.