Abstract
This paper provides a general scheme for constructing characteristic functions associated to certain binary relations, which can be used for obtaining scalar characterizations of a large class of generalized quasiconvex functions. In particular, it is shown that the smallest strictly monotonic functions, which were used by Dinh The Luc for characterizing the cone-quasiconvex vector-valued functions in terms of scalar quasiconvexity, can be simply derived from this general setting.
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Popovici, N. (2001). Scalar Characterization of Generalized Quasiconvex Functions. In: Hadjisavvas, N., Martínez-Legaz, J.E., Penot, JP. (eds) Generalized Convexity and Generalized Monotonicity. Lecture Notes in Economics and Mathematical Systems, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56645-5_24
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DOI: https://doi.org/10.1007/978-3-642-56645-5_24
Publisher Name: Springer, Berlin, Heidelberg
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