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Generalized Concavity in Multiobjective Programming

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Generalized Convexity, Generalized Monotonicity: Recent Results

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 27))

Abstract

In this survey we present the fundamental ideas and results related to the role played by generalized concavity in stating sufficient optimality conditions, in studying local and global efficiency, in finding relationships between local efficiency and efficiency along feasible directions, and in establishing the connectedness of the efficient point sets.

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Author information

Authors and Affiliations

  1. Department of Statistics and Applied Mathematics, University of Pisa, Pisa, 56124, Italy

    Alberto Cambini & Laura Martein

Authors
  1. Alberto Cambini
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  2. Laura Martein
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Editor information

Editors and Affiliations

  1. Université Blaise Pascal, Clermont-Ferrand, France

    Jean-Pierre Crouzeix

  2. Universitat Autònoma de Barcelona, Barcelona, Spain

    Juan-Enrique Martinez-Legaz

  3. Université d’Avignon, Avignon, France

    Michel Volle

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© 1998 Kluwer Academic Publishers

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Cambini, A., Martein, L. (1998). Generalized Concavity in Multiobjective Programming. 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_23

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  • DOI: https://doi.org/10.1007/978-1-4613-3341-8_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3343-2

  • Online ISBN: 978-1-4613-3341-8

  • eBook Packages: Springer Book Archive

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