A stability result in quasi-convex programming (Q1263526)

Combining a result on the lower semicontinuity of the intersection of two convex-valued multifunctions and the level set approach of epi- convergence, we obtain results on the epi-upper semicontinuity of the supremum and the sum of two families of quasi-convex functions. As a consequence, we give some condition ensuring the stability of a quasi- convex program under a perturbation of the objective functions and the constraint sets.