Titlebook: Generalized Convexity and Generalized Monotonicity; Proceedings of the 6 Nicolas Hadjisavvas,Juan Enrique Martínez-Legaz,Je Conference proc

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Minas Arsenakis,Bernard Roizmanns of suitable generalized convexity assumptions, we obtain some equivalences of the different notions of proper efficiency considered, with respect to the notion of efficiency. The results of this paper may be viewed as a generalization of the situation established for the smooth case.

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Discrete Higher Order Convex Functions and their Applicationshe objective function is a kind of higher order convexity, expressed in terms of divided differences. A variant of the above, the discrete binomial moment problem, as well as generalization for discrete variable Chebyshev systems are also discussed. Finally, we present novel applications to valuations of financial instruments.

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Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problemsns of suitable generalized convexity assumptions, we obtain some equivalences of the different notions of proper efficiency considered, with respect to the notion of efficiency. The results of this paper may be viewed as a generalization of the situation established for the smooth case.

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0075-8442 Overview: 978-3-540-41806-1978-3-642-56645-5Series ISSN 0075-8442 Series E-ISSN 2196-9957