Conditions for the stability of ideal efficient solutions in parametric vector optimization via set-valued inclusions

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