  In present paper, an analysis of the stability behaviour of ideal efficient
solutions to parametric vector optimization problems is conducted. A sufficient
condition for the existence of ideal efficient solutions to locally perturbed
problems and their nearness to a given reference value is provided by refining
recent results on the stability theory of parameterized set-valued inclusions.
More precisely, the Lipschitz lower semicontinuity property of the solution
mapping is established, with an estimate of the related modulus. A notable
consequence of this fact is the calmness behaviour of the ideal value mapping
associated to the parametric class of vector optimization problems. Within such
an analysis, a refinement of a recent existence result specific for ideal
efficient solutions to unperturbed problem is also discussed.
