Weak sharp minima: Characterizations and sufficient conditions. (English) Zbl 0946.49011

Studniarski, Marcin; Ward, Doug E.

SIAM J. Control Optimization 38, No. 1, 219-236 (1999).

In the paper the authors investigate the weak sharp minima of order \(m\geq 1\) for unconstrained and constrained minimization problems. They provide characterizations and sufficient conditions of weak sharp minima by using the Mordukhovich normal cone as well as a new introduced tangent cone.

Reviewer: Constantin Zălinescu (Iaşi)

MSC:

49J52	Nonsmooth analysis
90C30	Nonlinear programming

Keywords:

weak sharp minimizer of order \(m\); normal cone; contingent cone; directional derivative; subdifferential; exact penalty function