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Duality Theory in Fuzzy Optimization Problems
Fuzzy Optimization and Decision Making, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Are dualities appropriate for duality theories in optimization?
Journal of Global Optimization, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimality Conditions and Duality Theory
2019This chapter studies optimization problems with constraints under special consideration of necessary and sufficient conditions for optimality of solution points. Although the theory to be presented is not immediately concerned with computational aspects of solution techniques, it nevertheless represents the foundation for the development of algorithms ...
H. A. Eiselt, Carl-Louis Sandblom
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Generalized fractional programming: Optimality and duality theory
Journal of Optimization Theory and Applications, 1990The generalized fractional programming problem with a finite number of ratios in the objective is studied. Optimality and duality results are established, some with the help of an auxiliary problem and some directly. Convexity and stability of the auxiliary problem play a key role in the latter part of the paper.
Singh, C., Rueda, N.
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On canonical duality theory and constrained optimization problems
Journal of Global Optimization, 2021The author proposes for constrained optimization problems in finite-dimensional spaces a rigorous study of the ``canonical duality theory'' introduced by D. Y. Gao. Moreover, several inconsistencies in the Gao papers are also discussed.
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Duality theory and optimality conditions for Generalized Complementarity Problems
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuffrè, S., Idone, G., Maugeri, A.
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Sufficient optimality conditions and duality theory for interval optimization problem
Annals of Operations Research, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhurjee, A. K., Panda, G.
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Introduction to duality in optimization theory
Journal of Optimization Theory and Applications, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Duality Theory and Optimality Conditions
1995A fundamental problem in optimization is the characterization of the solution of the optimization problem. In linear programming theory, this is achieved by Duality theory. This theory establishes a relationship between optimal solutions of two closely related linear programs, called the pair of dual linear programs. We now introduce this theory.
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Connections between duality in control theory and convex optimization
Proceedings of 1995 American Control Conference - ACC'95, 2005Several important problems in control theory can be reformulated as convex optimization problems. From duality theory in convex optimization, dual problems can be derived for these convex optimization problems. These dual problems can in turn be reinterpreted in control or system theoretic terms, often yielding new results or new proofs for existing ...
V. Balakrishnan, L. Vandenberghe
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