  Viewing the negative cosmological constant as a dynamical quantity derived
from the matter field, we study the weak cosmic censorship conjecture for the
higher-dimensional asymptotically AdS Reissner-Nordstr\"om black hole. To this
end, using stability assumption of matter field perturbation and null energy
condition of the matter field, we first derive the first-order and second-order
perturbation inequalities containing the variable cosmological constant and its
conjugated quantity for the black hole . We prove that the higher-dimensional
RN-AdS black hole cannot be destroyed under a second-order approximation of the
matter field perturbation process.
