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Symmetric Duality for Homogeneous Multiple-Objective Problems

Journal of Optimization Theory and Applications, 2011
Motivated by economic applications, the author proposes a symmetric duality approach for a multiobjective optimization problems by means of his earlier quasi-conjugacy notion. Strong duality statements and characterizations of the (weakly) efficient solutions of the considered primal and dual problems are provided, too.
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Atomistic Symmetric Lattices with Duality

1970
A lattice L with 0 and 1 is called a DAC-lattice when both L and its dual L* are AC-lattices, that is, atomistic lattices with the covering property. If L is a DAC-lattice then so is L* evidently.
Fumitomo Maeda, Shûichirô Maeda
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Actions for Duality-Symmetric Fields

2000
The problem of constructing models described by duality-invariant actions has a rather long history. It goes back to time when Poincare and later on Dirac noticed electric-magnetic duality symmetry of the free Maxwell equations, and, Dirac (1931) assumed the existence of magnetically charged particles (monopoles and dyons) admitting the duality ...
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Second order symmetric duality in multiobjective programming

European Journal of Operational Research, 2003
C S Lalitha, S K Suneja
exaly  

Multiobjective second-order symmetric duality with F-convexity

European Journal of Operational Research, 2005
K L Teo, X M Yang, X Q Yang
exaly  

Second order symmetric duality for nonlinear minimax mixed integer programs

European Journal of Operational Research, 1997
Izhar Ahmad
exaly  

A note on multiobjective second-order symmetric duality

European Journal of Operational Research, 2010
Navdeep Kailey
exaly  

Symmetric duality with (p,r)−ρ−(η,θ)-invexity

Applied Mathematics and Computation, 2011
C Nahak
exaly  

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