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Various types of nonsmooth invex functions. (English) Zbl 0859.49020

Summary: 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.

MSC:

49J52 Nonsmooth analysis
90C25 Convex programming
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