Exact penalization via dini and hadamard conditional derivatives

Abstract

Exact penalty functions for nonsmooth constrained optimization problems are analyzed tfy using the notion of (Dini) Hadamard directional derivative with respect to the constraint set. Weak conditions are given guaranteeing equivalence of the sets of stationary, global minimum, local minimum points of the constrained problem and of the penalty function

Keywords:

• Exact Penalty Function
• Dini (conditional) Derivative
• Hadamard (Conditional Derivative
• Stationary Point
• Nonsmooth Analysis

^*Correspondong author

^*Correspondong author

Notes

^*Correspondong author