Characterizing invex and related properties. (English) Zbl 1076.26010

Craven, B. D.

Eberhard, Andrew (ed.) et al., Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. New York, NY: Springer (ISBN 0-387-23638-4/hbk). Nonconvex Optimization and Its Applications 77, 183-191 (2005).

For differentiable vector functions the author characterizes invexity and pseudoinvexity with respect to a cone as well as the notion of V-invexity.
For the entire collection see [Zbl 1055.90002].

Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)

MSC:

26B25	Convexity of real functions of several variables, generalizations
49J52	Nonsmooth analysis

Keywords:

invexity; pseudoinvexity; V-invexity