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Acta Mathematica Vietnamica

, Volume 42, Issue 2, pp 337–355 | Cite as

Conjugate Duality and Optimization over Weakly Efficient Set

  • Tran Van ThangEmail author
Article
  • 107 Downloads

Abstract

In this article, we present a conjugate duality for nonconvex optimization problems. This duality scheme is symmetric and has zero gap. As applied to a vector-maximization problem, it transforms the latter into an optimization problem over a weakly efficient set which can be solved by monotonic optimization methods.

Keywords

Quasigradient duality Vector-optimization Weakly efficient set Quasi-supgradient Monotonic optimization 

Mathematics Subject Classification (2010)

80C90 90C60 49N25 

Notes

Acknowledgments

The author is grateful to Prof. Hoang Tuy for several suggestions and advices which have helped to improve the presentation of a first draft of the paper.

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.University of Electric PowerHanoiVietnam

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