RECESSION CONES AND ASYMPTOTICALLY COMPACT-SETS

The present note is concerned with the study of the relations between the notions of asymptotic cones introduced by Dedieu and that of reces sion cones introduced by Luc. Conditions under which these notions coi ncide are given, as well as the fact that the compactness condition us ed by Luc is related (more restrictively) to asymptotic compactness. A s an application of these notions, a result on proper efficiency in th e sense of Lampe, established by Luc in finite dimensions, is extended to the infinite-dimensional case.