Boundedness of certain sets of Lagrange multipliers in vector optimization

Abstract

In this paper, we establish Lagrange multiplier rules in terms of Michel-Penot subdifferential for nonsmooth vector optimization problem. A constraint qualification or regularity condition in terms of Michel-Penot subdifferential is given and under this regularity condition the boundedness of certain sets of Lagrange multipliers are discussed. © 2015 Elsevier Inc.Allrightsreserved.