Abstract
It is shown that a general Lagrangian duality theory for constrained extremum problems can be drawn from a separation scheme in the Image Space, namely in the space where the functions of the given problem run.
Similar content being viewed by others
References
Gao D.Y. (2000) Duality Principles in Nonconvex Systems. Series: Nonconvex Optimization and its Appls, vol. 39. Kluver, Dordrecht
Giannessi, F.: Constrained optimization and image space analysis. In: Separation of Sets and Opimality Conditions, vol. 1. Springer, Berlin Heidelberg New York (2005)
Mangasarian O.L.: Nonlinear programming. In: Classic in Applied Mathematics, vol. 10. SIAM, Philadelphia (1994)
Ponstein J. (1983) Comments on the general duality survey by J. Tind and L.A. Wolsey. Math. Program. 25, 240–244
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Giannessi, F. On the theory of Lagrangian duality. Optimization Letters 1, 9–20 (2007). https://doi.org/10.1007/s11590-006-0013-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11590-006-0013-6