Abstract
During the last years numerous results about optimality in mathematical programming problems with generalized convex functions have been obtained, with special attention to multiobjetive problems.
In this paper, we consider multiobjective problems with ρ- convex functions and some additional hypothesis. The objective is to deduce theoretical properties that permit to develop algorithms in order to derive efficient points for the analyzed problems. In particular, we study the application of properties to certain biobjective problems.
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Beato-Moreno, A., Osuna-Gómez, R., Rufián-Lizana, A., Ruiz-Canales, P. (2001). Multiobjective Programming with ρ-convex 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_6
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DOI: https://doi.org/10.1007/978-3-642-56645-5_6
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