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Global Optimization of Convex Multiplicative Programs by Duality Theory
2005A global optimization approach for convex multiplicative problems based on the generalized Benders decomposition is proposed. A suitable representation of the multiplicative problem in the outcome space reduces its global solution to the solution of a sequence of quasiconcave minimizations over polytopes. Some similarities between convex multiplicative
Rúbia M. Oliveira, Paulo A. V. Ferreira
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Applications of Toland's duality theory to nonconvex optimization problems
Optimization, 1991Through a suitable application of Toland's duality theory to certain nonconvex and nonsmooth problems one obtain an unbounded minimization problem with Frechet:-differentiable cost function as dual problem and one can establish a gradient projection method for the solution of these problems.
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A Duality Theory for Infinite-Horizon Optimization of Concave Input/Ouput Processes
Mathematics of Operations Research, 1983A general concave ∞-horizon optimization model is analyzed with the help of a special convexity concept, which combines both the usual convexity and the dynamic structure. The axiomatic setup leads to a perfect symmetry between the primal and dual problems.
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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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Introduction to General Duality Theory for Multi-Objective Optimization
1992This is intended as a comprehensive introduction to the duality theory for vector optimization recently developed by C. Malivert and the present author [3]. It refers to arbitrarily given classes of mappings (dual elements) and extends the general duality theory proposed for scalar optimization by E. Balder, S. Kurcyusz and the present author [1] and P.
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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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