• G. Isac
  • V. A. Bulavsky
  • V. V. Kalashnikov
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 63)


A very popular domain of applied mathematics is optimization, because the diversity of its applications to economics, engineering and sciences. Certainly the applications to practical problems stimulated the impressive development of this domain. Between the chapters of optimization, one is the optimization of vector-valued functions, known also under the name of Pareto optimization. In 1906 V. Pareto wrote: “Principeremo con deftnire un termine di cui è comodo fare uso per scansare lungaggini. Diremo che i componenti di una colletivita godono, in una certa postione, del massimo di ofelimita, quando è impossibile allontanarsi pochissimo da quella positione giovando, o nuocendo, a tutti i componenti la collectività; ogni picolissimo spostamento da quella positione avendo necessariamente per effetto di giovare a parte dei componenti la collectività e di nuocere ad altri.” (Pareto, 1919).


Convex Cone Vector Optimization Convex Space Vector Optimization Problem Closed Convex Cone 
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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • G. Isac
    • 1
  • V. A. Bulavsky
    • 2
  • V. V. Kalashnikov
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Central Economics Institute (CEMI) of Russian Academy of SciencesMoscowRussia

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