Abstract
In this paper we introduce a concept of quasimonotonicity for multifunctions defined on a space X with values in X ∗, the dual of X, and give some properties of this class of multifunctions. By using the fact that, for generalized gradients of locally lipschitz functions, quasimonotonicity gives an extremely useful characterization of quasiconvexity, we show some properties of the normal cone to the level set of f. We then obtain necessary and sufficient optimality conditions in quasiconvex programming via some variational inequalities.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
