Abstract
In this paper, the stability in multicriteria location problems is considered.
Given a family of parameterized multicriteria location problems, the (weak) Pareto
optimal value/solution mapping is defined as the set-valued mapping which associates
to each parameter value the set of all (weak) Pareto optimal values/solutions of the
problem. Sufficient conditions for the upper and lower semicontinuity of the (weak)
Pareto optimal value/solution mapping are obtained.