Abstract
In this paper some classes of vector valued generalized concave functions will be compared in the bicriteria case, that is when the images of the functions are contained in ℜ2. We will prove that, in the bicriteria case, continuous (C,C)-quasiconcave functions coincide with C-quasiconcave functions introduced by Luc; we will also prove that (C,C)-quasiconcave functions have a first order characterization and that they can be characterized by means of their increasness and decreasness.
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© 1998 Kluwer Academic Publishers
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Cambini, R. (1998). Generalized Concavity for Bicriteria Functions. In: Crouzeix, JP., Martinez-Legaz, JE., Volle, M. (eds) Generalized Convexity, Generalized Monotonicity: Recent Results. Nonconvex Optimization and Its Applications, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3341-8_22
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DOI: https://doi.org/10.1007/978-1-4613-3341-8_22
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