Exact penalty functions in nonlinear programming

• DOI: 10.1007/bf01584647
• Publication Date: 2005-04-28T08:27:26Z
• Authors: J. P. Evans; F. J. Gould; J. W. Tolle
• Keywords: Penalty Method; Semi-infinite programming

In this paper some new theoretic results on piecewise differentiable exact penalty functions are presented. Sufficient conditions are given for the existence of exact penalty functions for inequality constrained problems more general than concave and several classes of such functions are presented.