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Generalized Convexity, Generalized Monotonicity and Applications pp 131–146Cite as

Duality in Multiobjective Optimization Problems with Set Constraints

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Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 77))

Abstract

We propose four different duality problems for a vector optimization program with a set constraint, equality and inequality constraints. For all dual problems we state weak and strong duality theorems based on different generalized concavity assumptions. The proposed dual problems provide a unified framework generalizing Wolfe and Mond-Weir results.

This research has been partially supported by M.I.U.R. and C.N.R.

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Author information

Authors and Affiliations

  1. Dept. of Statistics and Applied Mathematics, University of Pisa, Italy

    Riccardo Cambini & Laura Carosi

Authors
  1. Riccardo Cambini
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  2. Laura Carosi
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Editor information

Editors and Affiliations

  1. RMIT University, Australia

    Andrew Eberhard

  2. University of the Aegean, Greece

    Nicolas Hadjisavvas

  3. University of Avignon, France

    Dinh The Luc

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© 2005 Springer Science + Business Media, Inc.

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Cambini, R., Carosi, L. (2005). Duality in Multiobjective Optimization Problems with Set Constraints. In: Eberhard, A., Hadjisavvas, N., Luc, D.T. (eds) Generalized Convexity, Generalized Monotonicity and Applications. Nonconvex Optimization and Its Applications, vol 77. Springer, Boston, MA. https://doi.org/10.1007/0-387-23639-2_7

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