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Production Theory Dualities for Optimally Realized Values
1978Duality theorems are useful tools in the theory of cost and production (see [2,5,9]) as well as in the related theory of economic index numbers (see [4]). Traditionally, such theorems are proved on a global basis, i.e., they hold for each entire input or output set or for the whole technology.
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Symmetry in the Duality Theory for Vector Optimization Problems
2009The objective of this work is to obtain symmetry in the duality theory for linear vector optimization problems as known from the scalar duality theory. We derive results that are related to the concept of geometric duality as introduced in [1] and extend these results to a larger class of optimization problems.
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On Constrained Optimization Problems Solved Using the Canonical Duality Theory
2019D.Y. Gao together with some of his collaborators applied his Canonical duality theory (CDT) for solving a class of constrained optimization problems. Unfortunately, in several papers on this subject there are unclear statements, not convincing proofs, or even false results.
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Duality Theory and Lagrangian Multipliers in Vector Optimization
2002In the last years there has been a growing interest addessed to the study of Vector Optimization both from a theoretical point of view and as it concerns the applications to real problems. Such an interest asks for a general approach with embraces the several existing developments and stimulates new ones.
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On unconstrained optimization problems solved using the canonical duality and triality theories
Optimization, 2020Constantin Zălinescu
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Constraint Qualifications Characterizing Lagrangian Duality in Convex Optimization
Journal of Optimization Theory and Applications, 2007Vaithilingam Jeyakumar
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On modeling and global solutions for d.c. optimization problems by canonical duality theory
Applied Mathematics and Computation, 2017David Yang Gao, Zhong Jin
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