Optimality conditions for maximizing a locally Lipschitz function
Joydeep Dutta · Optimization · 2005
In this article we intend to study the necessary and sufficient conditions for global maximization of locally Lipschitz functions. We develop a necessary and sufficient condition for a class of Lipschitz pseudoconvex function in terms of the Clarke subdifferential. We also develop sufficient conditions for optimality in terms of very general non-smooth objects called convexifactors.