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Titlebook: Generalized Convexity and Fractional Programming with Economic Applications; Proceedings of the I Alberto Cambini,Erio Castagnoli,Siegfried

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Structural Developments of Concavity Propertiesral properties of concavity Besides going into a guided description on the results presented in the three papers of this section, we would like to express the feeling of continued lively interest in our field of research.
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Differentiable (α, λ) - Concave Functionsion problems..Two structural properties, monotonicity and concavifiability, are studied; but what is more interesting, once and twice differentiate (α, λ)-concave functions are characterized in order to find a continuous link between concavity and quasiconcavity.
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On the Bicriteria Maximization Problemll efficient points. In this paper we will introduce a parametric real-valued function which allows us either to derive a parametric representation of E in a general form or to find sequential methods for generating E.
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An Interval-Type Algorithm for Generalized Fractional Programmingw algorithm has the advantage of being easier to implement than earlier algorithms of this type, especialy for nonlinear problem. The numerical results indicate that it is as efficient as other interval-type and Dinkelbach-type algorithms for these problems.
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Linear Fractional and Bicriteria Linear Fractional Programsg the concept of optimal level solutions..By following this approach, sequential methods for solving the bicriteria linear fractional problem are proposed; these methods generate the set E of all efficient points and, at the same time, point out that E is arcwise-connected when at least one of the objective functions is linear.
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Generalized Convexity and Fractional Optimizationenoted as Fenchel duality. In the paper, a general concept of conjugation is introduced, based on polarities and hence called P-conjugation. Several well-known conjugations turn out to be special cases of P-conjugation, p.e. level-set-conjugation, conjugation by coupling functionales, Φ-conjugation and Fenchel conjugation.
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https://doi.org/10.1007/978-3-642-46709-7Dualität; Konvexe Funktionen; Operations Research; Programmierung; Sektoroptimierung; Vector optimization
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