Various types of nonsmooth invex functions
Giorgio Giorgi, Angelo Guerraggio · Journal of Information and Optimization Sciences · 1996
The aim of this paper is to consider various proposals for the extension to a nonsmooth setting of the class of invex functions. In particular we consider functions endowed with generalized directional derivatives in the sense of Clarke, Demyanov and Rubinov, Pshenichnyi, Jeyakumar and Ye. From these extensions we derive some “parallel”, results with respect to the differentiable case and show the various relationships between the nonsmooth invex functions considered.