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On Optimality and Duality in Multiobjective Nonsmooth Programming

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Advances in Multiple Objective and Goal Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 455))

Abstract

A multiobjective nonsmooth programming problem is studied. By considering the concept of weak maximum, some general necessary and sufficient optimality conditions are obtained in terms of classical Dini-derivatives. Also, a general Mond-Weir dual is considered and some duality results are given.

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References

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Author information

Authors and Affiliations

  1. Mathematics Faculty, University of Bucharest, 14 Academiei Str., Bucharest, Romania

    Vasile Preda

  2. The Romanian Academy, Centre of Mathematical Statistics, 76100, Bucharest, Romania

    I. M. Stancu-Minasian

Authors
  1. Vasile Preda
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  2. I. M. Stancu-Minasian
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Editor information

Editors and Affiliations

  1. Departamento de Economía Aplicada (Matemáticas) Facultad de Ciencias Económicas y Empresariales, University of Málaga, Campus El Ejido s/n, 29071, Málaga, Spain

    Rafael Caballero  & Francisco Ruiz  & 

  2. Faculty of Management Science, University of Georgia, 206 Brooks Hall, 30602-6255, Athens, Georgia, USA

    Ralph Steuer

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© 1997 Springer-Verlag Berlin Heidelberg

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Preda, V., Stancu-Minasian, I.M. (1997). On Optimality and Duality in Multiobjective Nonsmooth Programming. In: Caballero, R., Ruiz, F., Steuer, R. (eds) Advances in Multiple Objective and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46854-4_19

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  • DOI: https://doi.org/10.1007/978-3-642-46854-4_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63599-4

  • Online ISBN: 978-3-642-46854-4

  • eBook Packages: Springer Book Archive

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